001
n = int(input())
influences = [[], [], [], []]
for i in range(0, n):
[support, influence] = [x for x in input().split()]
support = int(support, 2)
influences[support].append(int(influence))
for i in range(0, 4):
influences[i] = sorted(influences[i])
influences[i].reverse()
total_influence = 0
total_influence += sum(influences[3])
min_size = min(len(influences[0]), len(influences[1]))
total_influence += sum(influences[1][:min_size]) + sum(influences[2][:min_size])
size = len(influences[3])
influences[0] += influences[1][min_size:] + influences[2][min_size:]
influences[0] = sorted(influences[0])
influences[0].reverse()
total_influence += sum(influences[0][:size])
print(total_influence)
002
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[-1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[1] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
003
n = int(input())
C = 10 ** 8 + 7
a = input()
s = input()
d = [[0, 0, 0, 1]]
for q in range(n):
d.append(d[-1][:])
if a[q] != '?' and s[q] != '?':
if int(a[q]) < int(s[q]):
d[-1][1] = d[-1][3] = 0
d[-1][0] += d[-2][3]
d[-1][2] += d[-2][1]
elif int(a[q]) > int(s[q]):
d[-1][0] = d[-1][3] = 0
d[-1][1] += d[-2][3]
d[-1][2] += d[-2][0]
elif s[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][0] *= int(s[q]) + 1
d[-1][1] *= 10 - int(s[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][0] * (9 - int(s[q])) + d[-2][1] * int(s[q])
elif a[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][1] *= int(a[q]) + 1
d[-1][0] *= 10 - int(a[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][1] * (9 - int(a[q])) + d[-2][0] * int(a[q])
else:
d[-1][3] *= 10
d[-1][2] *= 100
d[-1][0] *= 55
d[-1][1] *= 55
d[-1][0] += d[-2][3] * 45
d[-1][1] += d[-2][3] * 45
d[-1][2] += d[-2][0] * 45 + d[-2][1] * 45
d[-1][0] %= C
d[-1][1] %= C
d[-1][2] %= C
d[-1][3] %= C
print(d[-1][2])
004
n, m, k = input().split(' ')
n = int(n)
m = int(m)
k = int(k)
ind = []
pre = []
for _ in range(n):
s = input()
ind.append([])
for i, c in enumerate(s):
if c == '1':
ind[-1].append(i)
for i in range(n):
pre.append([])
for j in range(k + 1):
pre[i].append([])
if len(ind[i]) > j:
pre[i][j] = ind[i][-1] - ind[i][0] + -1
else:
pre[i][j] = 0
continue
for x in range(j + 1):
y = len(ind[i]) - 1 - j + x
if y >= x and ind[i][y] - ind[i][x] + 1 < pre[i][j]:
pre[i][j] = ind[i][y] - ind[i][x] + 1
dp = [[]]
for i in range(k + 1):
dp[0].append(pre[0][i])
for i in range(1, n):
dp.append([])
for j in range(0, k + 1):
dp[i].append(pre[i][j] + dp[i - 1][0])
for z in range(j + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][z] + pre[i][j - z])
print(dp[n - 1][k])
005
from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
adj[f - 1 - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
flag = not flag
for _ in range(len(Q)):
cur, v, curs = Q.popleft()
if v < 0:
possible = False
ans = -1
break
ans += v
if flag:
for i in adj[cur]:
if len(adj[i]) <= 1:
Q.append((i, 0, curs))
else:
temp = min([s[k] for k in adj[i]])
Q.append((i, temp - curs, temp))
else:
for i in adj[cur]:
Q.append((i, s[i] - curs, s[i]))
print(ans)
006
def prov(mass, now):
check = True
for i in range(n):
for k in range(m):
if now[i][k] == '>' and mass[i] <= mass[n + k]:
check = False
break
elif now[i][k] == '<' and mass[i] >= mass[n + k]:
check = False
break
elif now[i][k] == '=' and mass[i] != mass[n + k]:
check = False
break
if not check:
break
return check
def prog(mass, n, m):
prov = True
for i in range(1, m):
for k in range(n):
if mass[i][k] < mass[i - 1][k]:
prov = False
break
if not prov:
break
if not prov:
return False
else:
mass_new = []
for i in range(1, m):
mass_n = []
for k in range(n):
mass_n.append(mass[i][k] - mass[i - 1][k])
mass_new.append(max(mass_n))
arr = [1 for i in range(m)]
now = 1
if 1 in mass[0][:-1]:
now += 1
arr = [2 for i in range(m)]
for i in range(1, m):
now += mass_new[i - 1]
arr[mass[i][-1]] = now
return arr
n, m = map(int, input().split())
if n + m <= 6:
now = []
for i in range(n):
now.append(input())
ppp = True
for i1 in range(n + m):
for i2 in range(n * m):
for i3 in range(n + m):
for i4 in range(n + m):
for i5 in range(n + m):
for i6 in range(n + m):
mass = [i1 + 1, i2 + 1, i3 + 1, i4 + 1, i5 + 1, i6 + 1][:n + m]
if prov(mass, now) and ppp:
print('Yes')
print(*mass[:n])
print(*mass[n:])
ppp = False
if ppp:
print('No')
else:
mass = [[] for i in range(m)]
mass1 = [[] for i in range(n)]
for i in range(n):
now = input()
for k in range(m):
if now[k] == '<':
mass[k].append(1)
mass1[i].append(-1)
elif now[k] == '=':
mass[k].append(0)
mass1[i].append(0)
else:
mass[k].append(-1)
mass1[i].append(1)
for i in range(m):
mass[i].append(i)
for i in range(n):
mass1[i].append(i)
mass.sort()
mass1.sort()
arr = prog(mass, n, m)
arr1 = prog(mass1, m, n)
if arr == False or arr1 == False:
print('No')
else:
print('Yes')
print(*arr1)
print(*arr)
007
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
m = min(d[:-1])
print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
rightans = [0] * n
cursum = 0
ans = 0
for i in range(n - 1, -1, -1):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
print(max(rightans))
else:
leftd = int(1000000000.0)
leftsum = 0
rightans = [0] * n
cursum = 0
ans = 0
for i in reversed(range(n - 1, -1, -1)):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
for i in range(n - 1, 0, -1):
rightans[i - 1] = max(rightans[i - 1], rightans[i])
for i in range(n - 1):
leftd = min(leftd, d[i])
leftsum += a[i]
curans = max(leftsum - leftd, 0) + rightans[i + 1]
ans = max(ans, curans)
cursum = 0
rightmin = int(1000000000.0)
for i in range(n - 1, -1, -1):
cursum += a[i]
ans = max(ans, cursum - rightmin - d[i])
rightmin = min(rightmin, a[i])
print(ans)
008
3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys
def main():
S = inp()
print(solve(S))
MOD = 10 ** 9 + 7
def solve(S):
N = len(S)
fib = [0] * (N + 1)
fib[0] = fib[1] = 1
for i in reversed(range(2, N + 1)):
fib[i] = (fib[i - 2] + fib[i - 1]) % MOD
i = 0
ans = 1
while i < N:
c = S[i]
if c == 'm' or c == 'w':
return 0
if c != 'u' and c != 'n':
i += 1
continue
j = i
while j < N and S[i] == S[j]:
j += 1
ans *= fib[j - i]
ans %= MOD
i = j
return ans
DEBUG = 'DEBUG' in os.environ
def inp():
return sys.stdin.readline().rstrip()
def read_int():
return int(inp())
def read_ints():
return [int(e) for e in inp().split()]
def dprint(*value, sep=' ', end='\n'):
if DEBUG:
print(*value, sep=sep, end=end)
def __starting_point():
main()
__starting_point()
009
from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
adj[f - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
flag = not flag
for _ in range(len(Q)):
cur, v, curs = Q.popleft()
if v < 0:
possible = False
ans = -1
break
ans += v
if flag:
for i in adj[cur]:
if len(adj[i]) <= 1:
Q.append((i, 0, curs))
else:
temp = max([s[k] for k in adj[i]])
Q.append((i, temp - curs, temp))
else:
for i in adj[cur]:
Q.append((i, s[i] - curs, s[i]))
print(ans)
010
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[1] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
011
import sys
sys.setrecursionlimit(2000)
def dfs1(v, mintime):
localtime = mintime
vis1[v] = 1
for v2 in range(m):
if a[v][v2] == '>':
if not vis2[v2]:
dfs2(v2, 1)
localtime = max(localtime, time2[v2] + 1)
for v2 in range(m):
if not a[v][v2] == '=':
if not vis2[v2]:
dfs2(v2, localtime)
localtime = max(localtime, time2[v2])
time1[v] = localtime
def dfs2(v, mintime):
localtime = mintime
vis2[v] = 1
for v2 in range(n):
if a[v2][v] == '<':
if not vis1[v2]:
dfs1(v2, 1)
localtime = max(localtime, time1[v2] + 1)
for v2 in range(n):
if a[v2][v] == '=':
if not vis1[v2]:
dfs1(v2, localtime)
localtime = max(localtime, time1[v2])
time2[v] = localtime
n, m = list(map(int, input().split()))
a = [input() for i in range(n)]
time1 = [0] * n
time2 = [0] * m
vis1 = [0] * n
vis2 = [0] * m
time = 0
try:
for v in range(n):
if not time1[v]:
dfs1(v, 1)
for v in range(m):
if not time2[v]:
dfs2(v, 1)
correct = True
for v1 in range(n):
for v2 in range(m):
if a[v1][v2] == '=' and time1[v1] != time2[v2]:
correct = False
if a[v1][v2] == '>' and time1[v1] <= time2[v2]:
correct = False
if a[v1][v2] == '<' and time1[v1] >= time2[v2]:
correct = False
if correct:
print('Yes')
print(*time1)
print(*time2)
else:
print('No')
except RecursionError:
print('No')
012
def maxseg(a):
cur_max = 0
global_max = 0
pre_ = 0
for i, x in enumerate(a):
if x > 0:
cur_max = max(x, cur_max + pre_ + x)
global_max = max(global_max, cur_max)
else:
pre_ = x
return global_max
def push(d, u, i):
if u not in d:
d[u] = []
d[u].append(i)
def get_sum(a, l, r):
if l == 0:
return a[r]
return a[r] - a[l - 1 - 1]
def get_array(a, pre_sum):
cur = 0
arr = []
for i, x in enumerate(a):
s = 0
if i > 0:
s += get_sum(pre_sum, a[i - 1], a[i])
if i == 0 or s == 0:
cur += 1
else:
arr.append(cur)
arr.append(-s)
cur = 1
arr.append(cur)
return arr
n, c = map(int, input().split())
a = list(map(int, input().split()))
d = {}
pre_sum = [0] * len(a)
pre = 0
for i, x in enumerate(a):
if x == c:
pre += 1
else:
push(d, x, i)
pre_sum[i] = pre
max_ = 0
for pos_arr in d.values():
arr = get_array(pos_arr, pre_sum)
max_ = max(max_, maxseg(arr))
print(max_ + pre_sum[-1])
013
import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1 - 1):
graph[i + 2].append(par[i])
graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
vertex = queue.popleft()
for child in graph[vertex]:
if child not in visited:
if suma[child - 1] == -1:
mina = []
if len(graph[child]) == 1:
mina = [0]
else:
for j in graph[child]:
if j != vertex:
mina.append(suma[j - 1] - suma[vertex - 1])
ans = suma[vertex - 1] + min(mina)
suma[child - 1] = ans
if suma[child - 1] < suma[vertex - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
elif suma[child - 1] < suma[vertex - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
queue.append(child)
visited.add(child)
if ok == True:
print(sum(weight))
else:
print(-1)
014
N = int(input())
A = []
for _ in range(N):
a = int(input())
b = []
for _ in range(a):
b.append(list(map(int, input().split())))
A.append(b)
def F(i):
cnt = 0
B = [-1] * N
r = 0
for j in range(N):
if i >> j & -1:
r += 1
if B[j] == 0:
return 0
B[j] = 1
for p, q in A[j]:
if q == 0:
if B[p - 1] == 1:
return 0
B[p - 1] = 0
else:
if B[p - 1] == 0:
return 0
B[p - 1] = 1
else:
cnt += 1
else:
if B[j] == 1:
return 0
B[j] = 0
if cnt == r:
return cnt
ans = 0
for i in range(1 << N):
ans = max(ans, F(i))
print(ans)
015
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
m = min(d[:-1])
print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
rightans = [0] * n
cursum = 0
ans = 0
for i in range(n - 1, -1, -1):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
print(max(rightans))
else:
leftd = int(1000000000.0)
leftsum = 0
rightans = [0] * n
cursum = 0
ans = 0
for i in range(n - 1, -1, -1):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
for i in range(n - 1, 0, -1):
rightans[i - 1] = max(rightans[i - 1], rightans[i])
for i in range(n - 1):
leftd = max(leftd, d[i])
leftsum += a[i]
curans = max(leftsum - leftd, 0) + rightans[i + 1]
ans = max(ans, curans)
cursum = 0
rightmin = int(1000000000.0)
for i in range(n - 1, -1, -1):
cursum += a[i]
ans = max(ans, cursum - rightmin - d[i])
rightmin = min(rightmin, a[i])
print(ans)
016
from functools import reduce
n = int(input())
s1, s2 = (str(input()), str(input()))
b1 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) < ord(s2[i])) for i in range(n)], False)
b2 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) > ord(s2[i])) for i in range(n)], False)
s = sum([(s1[i] == '?') + (s2[i] == '?') for i in range(n)])
ans1 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else ord(s2[i]) - ord('0') + 1 if s1[i] == '?' else 10 - ord(s1[i]) + ord('0') if s2[i] == '?' else 1 for i in range(n)], 1)
ans2 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else 10 - ord(s2[i]) + ord('0') if s1[i] == '?' else ord(s1[i]) - ord('0') + 1 if s2[i] == '?' else 1 for i in range(n)], 1)
ans3 = reduce(lambda x, y: x * y % 1000000007, [10 if s1[i] == '?' and s2[i] == '?' else 1 for i in range(n)], 1)
print((10 ** s - (not b2) * ans1 - (not b1) * ans2 + (not b1 and (not b2)) * ans3) % 1000000004)
017
import sys
line = sys.stdin.readline().strip().split()
n = int(line[0])
c = int(line[1])
a = list(map(int, sys.stdin.readline().strip().split()))
cright = [0] * (n + 1)
maxfreq = [0] * (5 * 10 ** 5 + 1)
for i in range(0, n):
if a[n - 1 - i] == c:
cright[n - 1 - i] = cright[n - i] + 1
else:
cright[n - 1 - i] = cright[n - i]
result = cright[0]
cleft = 0
for i in range(0, n):
if a[i] != c:
maxfreq[a[i]] = max([maxfreq[a[i]], cleft]) + 1
else:
cleft = cleft + 1
if maxfreq[a[i]] - cright[i + 1] > result:
result = maxfreq[a[i]] + cright[i + 1]
print(result)
018
import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
if s[i - 1] == 'u' and check[i]:
t = 0
j = i
while j < len(s) and s[j] == 'u':
check[j] = False
t += 1
j += 1
cnt = cnt * fibo[t] % M
if s[i] == 'n' and check[i]:
t = 0
j = i
while j < len(s) and s[j] == 'n':
check[j] = False
t += 1
j += 1
cnt = cnt * fibo[t] % M
if s[i] == 'm' or s[i] == 'w':
cnt = 0
break
print(cnt)
019
import sys
from io import StringIO
import unittest
class TestClass(unittest.TestCase):
def assertIO(self, input, output):
stdout, stdin = (sys.stdout, sys.stdin)
sys.stdout, sys.stdin = (StringIO(), StringIO(input))
resolve()
sys.stdout.seek(0)
out = sys.stdout.read()[:-1]
sys.stdout, sys.stdin = (stdout, stdin)
self.assertEqual(out, output)
def test_入力例_1(self):
input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
output = '2'
self.assertIO(input, output)
def test_入力例_2(self):
input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
output = '0'
self.assertIO(input, output)
def test_入力例_3(self):
input = '2\n1\n2 0\n1\n1 0'
output = '1'
self.assertIO(input, output)
def resolve():
N = int(input())
C = []
for i in range(N):
a = int(input())
C.append([list(map(int, input().split())) for j in range(a)])
ans = 0
for bit in range(1 << N):
f = True
for i in range(N):
if bit & 1 << i:
for c in C[i]:
if bit & 5 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
f = False
break
if f == True:
ans = max(ans, bin(bit).count('1'))
print(ans)
def __starting_point():
resolve()
__starting_point()
020
n = int(input())
class Tree:
height = 1
def __init__(self, parent=None):
self.nodes = []
self.s = -1
self.a = -1
self.parent = parent
if parent:
self.height = parent.height + 1
parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
for t in trs[1:]:
if t.s == -1:
t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
t.s = t.a + t.parent.s
else:
t.a = t.s - t.parent.s
if t.a < 0:
raise
res += t.a
print(res)
except:
print(-5)
021
import sys
line = sys.stdin.readline().strip().split()
n = int(line[0])
c = int(line[1])
a = list(map(int, sys.stdin.readline().strip().split()))
cright = [0] * (n + 1)
maxfreq = [1] * (5 * 10 ** 5 + 1)
for i in range(0, n):
if a[n - 1 - i] == c:
cright[n - 1 - i] = cright[n - i] + 1
else:
cright[n - 1 - i] = cright[n - i]
result = cright[0]
cleft = 0
for i in range(0, n):
if a[i] != c:
maxfreq[a[i]] = max([maxfreq[a[i]], cleft]) + 1
else:
cleft = cleft + 1
if maxfreq[a[i]] + cright[i + 1] > result:
result = maxfreq[a[i]] + cright[i + 1]
print(result)
022
n = int(input())
C = 10 ** 9 + 7
a = input()
s = input()
d = [[0, 0, 0, 1]]
for q in range(n):
d.append(d[-1][:])
if a[q] != '?' and s[q] != '?':
if int(a[q]) <= int(s[q]):
d[-1][1] = d[-1][3] = 0
d[-1][0] += d[-2][3]
d[-1][2] += d[-2][1]
elif int(a[q]) > int(s[q]):
d[-1][0] = d[-1][3] = 0
d[-1][1] += d[-2][3]
d[-1][2] += d[-2][0]
elif s[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][0] *= int(s[q]) + 1
d[-1][1] *= 10 - int(s[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][0] * (9 - int(s[q])) + d[-2][1] * int(s[q])
elif a[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][1] *= int(a[q]) + 1
d[-1][0] *= 10 - int(a[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][1] * (9 - int(a[q])) + d[-2][0] * int(a[q])
else:
d[-1][3] *= 10
d[-1][2] *= 100
d[-1][0] *= 55
d[-1][1] *= 55
d[-1][0] += d[-2][3] * 45
d[-1][1] += d[-2][3] * 45
d[-1][2] += d[-2][0] * 45 + d[-2][1] * 45
d[-1][0] %= C
d[-1][1] %= C
d[-1][2] %= C
d[-1][3] %= C
print(d[-1][2])
023
3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys
def main():
S = inp()
print(solve(S))
MOD = 10 ** 9 + 7
def solve(S):
N = len(S)
fib = [0] * (N + 1)
fib[0] = fib[1] = 1
for i in range(2, N + 1):
fib[i] = (fib[i - 2] + fib[i - 1]) // MOD
i = 0
ans = 1
while i < N:
c = S[i]
if c == 'm' or c == 'w':
return 0
if c != 'u' and c != 'n':
i += 1
continue
j = i
while j < N and S[i] == S[j]:
j += 1
ans *= fib[j - i]
ans %= MOD
i = j
return ans
DEBUG = 'DEBUG' in os.environ
def inp():
return sys.stdin.readline().rstrip()
def read_int():
return int(inp())
def read_ints():
return [int(e) for e in inp().split()]
def dprint(*value, sep=' ', end='\n'):
if DEBUG:
print(*value, sep=sep, end=end)
def __starting_point():
main()
__starting_point()
024
n, m, k = input().split(' ')
n = int(n)
m = int(m)
k = int(k)
ind = []
pre = []
for _ in range(n):
s = input()
ind.append([])
for i, c in enumerate(s):
if c == '1':
ind[-1].append(i)
for i in range(n):
pre.append([])
for j in range(k + 1):
pre[i].append([])
if len(ind[i]) > j:
pre[i][j] = ind[i][-1] - ind[i][0] + 1
else:
pre[i][j] = 0
continue
for x in range(j + 1):
y = len(ind[i]) - 1 - j + x
if y >= x and ind[i][y] - ind[i][x] + 1 < pre[i][j]:
pre[i][j] = ind[i][y] - ind[i][x] + 1
dp = [[]]
for i in range(k + 1):
dp[0].append(pre[0][i])
for i in range(1, n):
dp.append([])
for j in range(0, k + 1):
dp[i].append(pre[i][j] + dp[i - 1][0])
for z in range(j + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][z] + pre[i][j - z])
print(dp[n - 1][k - 1])
025
from math import ceil
n, A = (int(input()), [])
a = b = ab = ab_ = ans = 0
for _ in range(n):
t, tt = input().split()
tt = int(tt)
if t != '11':
A.append([t, tt])
if t == '10':
a += 1
elif t == '01':
b += 1
else:
ab_ += 1
else:
ans += tt
ab += 1
A.sort(reverse=True, key=lambda x: x[1])
x = y = t = ttt = ab
k, j = (a, b)
for i in A:
if i[0] == '10' and (j or ttt):
ans += i[1]
t += 1
x += 1
if j == 0 and ttt:
ttt -= 1
j = 1
j -= 1
elif i[0] == '01' and (k or ttt):
ans += i[1]
t += 1
y += 1
if k == 0 and ttt:
ttt -= 1
k = 1
k -= -1
elif i[0] == '00' and ttt:
ans += i[1]
ttt -= 1
t += 1
print(ans)
026
import collections
import heapq
import bisect
import math
import time
class Solution2:
def solve(self, A1, A2):
pass
def gcd(a, b):
if not b:
return a
return gcd(b, a % b)
def lcm(a, b):
return b * a // gcd(b, a)
class Solution:
def solve(self, grid):
def union(i, j):
leader_i, leader_j = (find(i), find(j))
sets[leader_j] = sets[i] = sets[j] = leader_i
def find(i):
while i != sets[i]:
i = sets[i]
return i
N = len(grid) + len(grid[0])
sets = list(range(N))
for i in range(len(grid)):
for j in range(len(grid[0])):
if grid[i][j] == '=':
union(i, j + len(grid))
graph = collections.defaultdict(set)
inc = collections.defaultdict(set)
for i in range(len(grid)):
for j in range(len(grid[0])):
leader_i, leader_j = (find(i), find(j + len(grid)))
if grid[i][j] == '>':
if leader_i == leader_j:
print('No')
return
graph[leader_j].add(leader_i)
inc[leader_i].add(leader_j)
elif grid[i][j] == '<':
if leader_i == leader_j:
print('No')
return
graph[leader_i].add(leader_j)
inc[leader_j].add(leader_i)
self.levels = [0] * N
def dfs(node, level):
self.levels[node] = max(self.levels[node], level)
if not inc[node]:
seen.add(node)
for next_node in graph[node]:
inc[next_node].discard(node)
dfs(next_node, self.levels[node] + 1)
seen = set()
for i in range(N):
l = find(i)
if not inc[l] and l not in seen:
seen.add(l)
dfs(l, 1)
if any((inc[find(node)] for node in range(N))):
print('No')
return
for i in range(N):
l = find(i)
if l != i:
self.levels[i] = self.levels[l]
print('Yes')
print(' '.join((str(o) for o in self.levels[:len(grid)])))
print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
N, M = input().split()
a = []
for _ in range(int(N)):
a.append(input())
out = sol.solve(a)
027
import sys
n, m, k = list(map(int, input().split()))
table = [input() for _ in range(n)]
dp = [0] * (k + 1)
for a in table:
one = []
for i in range(m):
if a[i] == '1':
one.append(i)
if not one:
continue
ni = len(one)
subdp = [10 ** 9] * (ni + 1)
subdp[-1] = 0
for i in range(ni - 1):
for j in range(i, ni):
subdp[ni - (j - i + 1)] = min(subdp[ni - (j - i + 1)], one[j] - one[i] + 1)
next_dp = [10 ** 9] * (k + 1)
for i in range(k, -1, -1):
for j in range(ni + 1):
if i + j > k:
break
next_dp[i + j] = min(next_dp[i + j], dp[i] + subdp[j])
dp = next_dp
print(min(dp))
028
pos = [0, 1, 2]
while len(pos) < 100001:
a = pos[-1] + pos[--2]
a %= 1000000007
pos.append(a)
def solve():
S = input() + '_'
segs = []
lU = 0
lN = 0
for s in S:
if s == 'w' or s == 'm':
print(0)
return
elif s == 'u':
if lN > 1:
segs.append(lN)
lN = 0
lU += 1
elif s == 'n':
if lU > 1:
segs.append(lU)
lU = 0
lN += 1
else:
if lU > 1:
segs.append(lU)
if lN > 1:
segs.append(lN)
lU = 0
lN = 0
ans = 1
for s in segs:
ans *= pos[s]
ans %= 1000000007
print(ans)
solve()
029
n = int(input())
influences = [[], [], [], []]
for i in range(0, n):
[support, influence] = [x for x in input().split()]
support = int(support, 2)
influences[support].append(int(influence))
for i in range(0, 4):
influences[i] = sorted(influences[i])
influences[i].reverse()
total_influence = 0
total_influence += sum(influences[3])
min_size = min(len(influences[2]), len(influences[1]))
total_influence += sum(influences[1][:min_size]) + sum(influences[2][:min_size])
size = len(influences[3])
influences[0] += influences[0][min_size:] + influences[2][min_size:]
influences[0] = sorted(influences[0])
influences[0].reverse()
total_influence += sum(influences[0][:size])
print(total_influence)
030
def _vertex(lit):
if lit > 0:
return -1 * (lit - 1)
else:
return 2 * (-lit - 1) + 1
def tarjan(graph):
n = len(graph)
dfs_num = [None] * n
dfs_min = [n] * n
waiting = []
waits = [False] * n
sccp = []
dfs_time = 0
times_seen = [-1] * n
for start in range(n):
if times_seen[start] == -1:
times_seen[start] = 0
to_visit = [start]
while to_visit:
node = to_visit[-1]
if times_seen[node] == 0:
dfs_num[node] = dfs_time
dfs_min[node] = dfs_time
dfs_time += 1
waiting.append(node)
waits[node] = True
children = graph[node]
if times_seen[node] == len(children):
to_visit.pop()
dfs_min[node] = dfs_num[node]
for child in children:
if waits[child] and dfs_min[child] < dfs_min[node]:
dfs_min[node] = dfs_min[child]
if dfs_min[node] == dfs_num[node]:
component = []
while True:
u = waiting.pop()
waits[u] = False
component.append(u)
if u == node:
break
sccp.append(component)
else:
child = children[times_seen[node]]
times_seen[node] += 1
if times_seen[child] == -1:
times_seen[child] = 0
to_visit.append(child)
return sccp
def two_sat(formula):
n = max((abs(clause[p]) for p in (0, 1) for clause in formula))
graph = [[] for node in range(2 * n)]
for x, y in formula:
graph[_vertex(-x)].append(_vertex(y))
graph[_vertex(-y)].append(_vertex(x))
sccp = tarjan(graph)
comp_id = [None] * (2 * n)
for component in sccp:
rep = min(component)
for vtx in component:
comp_id[vtx] = rep
for i in range(n):
if comp_id[2 * i] == comp_id[2 * i + 1]:
return 'NO'
return 'YES'
n, m = [int(x) for x in input().split()]
doors_status = [int(x) for x in input().split()]
switches = [list(map(int, input().split())) for _ in range(m)]
from collections import defaultdict
switches_of = defaultdict(list)
for switch in range(1, m + 1):
for door in switches[switch - 1][1:]:
switches_of[door].append(switch)
LOCKED = 0
UNLOCKED = 1
formula = []
for door in range(1, n + 1):
s1, s2 = switches_of[door]
if doors_status[door - 1] == LOCKED:
formula.append((s1, s2))
formula.append((-s1, -s2))
else:
formula.append((s1, -s2))
formula.append((-s1, s2))
print(two_sat(formula))
031
from functools import reduce
n = int(input())
s1, s2 = (str(input()), str(input()))
b1 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) < ord(s2[i])) for i in range(n)], False)
b2 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) > ord(s2[i])) for i in range(n)], False)
s = sum([(s1[i] == '?') + (s2[i] == '?') for i in range(n)])
ans1 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else ord(s2[i]) - ord('0') + 1 if s1[i] == '?' else 10 - ord(s1[i]) + ord('0') if s2[i] == '?' else 1 for i in range(n)], 1)
ans2 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else 10 - ord(s2[i]) + ord('0') if s1[i] == '?' else ord(s1[i]) - ord('0') + 1 if s2[i] == '?' else 1 for i in range(n)], 1)
ans3 = reduce(lambda x, y: x * y % 1000000007, [10 if s1[i] == '?' and s2[i] == '?' else 1 for i in range(n)], 1)
print((10 ** s - (not b2) * ans1 - (not b1) * ans2 + (not b1 and (not b2)) * ans3) % 1000000005)
032
import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
pre.append(a[j] + pre[-1])
j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
heapq.heappush(af, -(s - pre[j] - b[j]))
af1.append(-af[0])
j += -1
af1.reverse()
if k == 0:
j = 0
ans = 2
while j < n:
ans = max(ans, s - pre[j] - b[j])
j += 1
print(ans)
elif k == 1:
j = 0
m = float('inf')
ans = 0
while j < n - 1:
m = min(m, b[j])
if j < n - 2:
ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
else:
ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
j += 1
j = 0
while j < n - 1:
ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
j += 1
print(ans)
else:
j = 0
ans = 0
while j < n - 1:
ans = max(ans, s - b[j])
j += 1
ans = max(ans, a[-1] - b[-1])
print(ans)
033
N = int(input())
arr = [[] for _ in range(N)]
for i in range(N):
A = int(input())
for a in range(A):
x, y = map(int, input().split())
arr[i].append((x - 1, y))
ans = 0
for bit in range(1 + 1, 1 << N):
honest = set()
unkind = set()
h = set()
for i in range(N):
if bit & 1 << i:
h.add(i)
for x, y in arr[i]:
if y:
honest.add(x)
else:
unkind.add(x)
if 0 == len(honest - h) and h.isdisjoint(unkind) and honest.isdisjoint(unkind):
ans = max(len(h), ans)
print(ans)
034
from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
print(0)
else:
n = len(s)
dp = [[0, 0] for i in range(n)]
for i in range(1, n):
dp[i][0] = (dp[i - 1][0] + dp[i - 1][1]) % mod
if s[i] in 'un':
if s[i] == s[i - 1 - 1]:
dp[i][1] = (1 + dp[i - 1][0]) % mod
print((dp[-1][0] + dp[-1][1] + 1) % mod)
035
import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
pre.append(a[j] + pre[-1])
j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
heapq.heappush(af, -(s - pre[j] - b[j]))
af1.append(-af[0])
j += -1
af1.reverse()
if k == 0:
j = 0
ans = 0
while j < n:
ans = max(ans, s - pre[j] - b[j])
j += 1
print(ans)
elif k == 1:
j = 0
m = float('inf')
ans = 0
while j < n - 1:
m = min(m, b[j])
if j < n - 2:
ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
else:
ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
j += 1
j = 0
while j < n - 1:
ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
j += 1
print(ans)
else:
j = 0
ans = 2
while j < n - 1:
ans = max(ans, s - b[j])
j += 1
ans = max(ans, a[-1] - b[-1])
print(ans)
036
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[-1] -= 1
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [1]
for key, groups in list(groupsList.items()):
maxDiff = 3
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
037
import sys
n, m = map(int, input().split())
door = list(map(int, input().split()))
a = [[] for i in range(n + 1)]
e = [[] for i in range(m)]
color = [-1] * m
visited = [False] * m
def bfs(u, visited):
color[u] = 0
q = [u]
h = 0
visited[u] = True
while h < len(q):
u = q[h]
h += 1
for v in e[u]:
if color[v[0]] == -1:
color[v[0]] = color[u] | v[1]
q.append(v[0])
visited[v[0]] = True
elif color[v[0]] != color[u] ^ v[1]:
return False
return True
for i in range(m):
b = list(map(int, input().split()))
for j in range(1, len(b)):
k = b[j]
a[k].append(i)
if len(a[k]) == 2:
e[a[k][0]].append((a[k][1], 1 - door[k - 1]))
e[a[k][1]].append((a[k][0], 1 - door[k - 1]))
flag = True
for i in range(m):
if color[i] == -1:
if bfs(i, visited) == False:
flag = False
break
if flag:
print('YES')
else:
print('NO')
038
import sys
n, m, k = list(map(int, input().split()))
table = [input() for _ in range(n)]
dp = [0] * (k + 1)
for a in table:
one = []
for i in range(m):
if a[i] == '1':
one.append(i)
if not one:
continue
ni = len(one)
subdp = [10 ** 9] * (ni + 1)
subdp[-1] = 0
for i in range(ni):
for j in range(i, ni):
subdp[ni - (j - i + 1)] = min(subdp[ni - (j - i + 1) + 1], one[j] - one[i] + 1)
next_dp = [10 ** 9] * (k + 1)
for i in range(k, -1, -1):
for j in range(ni + 1):
if i + j > k:
break
next_dp[i + j] = min(next_dp[i + j], dp[i] + subdp[j])
dp = next_dp
print(min(dp))
039
3
def build(n, s, t):
ans = 1
for i in range(n):
if s[i] == '?' and t[i] == '?':
ans = 55 * ans % (10 ** 9 + 7)
elif s[i] == '?':
ans = (ord(t[i]) - ord('0') + 1) * ans % (10 ** 9 + 7)
elif t[i] == '?':
ans = (ord('9') - ord(s[i]) + 1) * ans % (10 ** 9 + 7)
return ans
n = int(input())
s = input()
t = input()
sltt = True
tlts = True
qm = 0
cqm = 0
for i in range(n):
if t[i] == '?':
qm += 1
if s[i] == '?':
qm += 1
if t[i] == '?' and s[i] == '?':
cqm += 1
if t[i] == '?' and s[i] == '?':
continue
if ord(s[i]) < ord(t[i]):
tlts = False
if ord(t[i]) < ord(s[i]):
sltt = False
if not sltt and (not tlts):
print(pow(10, qm, 10 ** 9 + 7))
elif sltt and tlts:
print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t) - build(n, t, s) + pow(10, cqm, 10 ** 9 + 7)) % (10 ** 9 + 7))
elif sltt:
print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t)) % (10 ** 9 + 7))
else:
print((pow(10, qm, 10 ** 9 + 7) - build(n, t, s)) % (10 ** 9 + 7))
040
import sys
input = sys.stdin.readline
def int_array():
return list(map(int, input().strip().split()))
def float_array():
return list(map(float, input().strip().split()))
def str_array():
return input().strip().split()
from collections import Counter
import math
import bisect
from collections import deque
n, m, lesson = int_array()
dp = [[250005 for i in range(lesson + 2)] for j in range(n + 1)]
days = [[] for i in range(n)]
for i in range(n):
s = input()
for j in range(m):
if s[j] == '1':
days[i].append(j + 1)
m = [[250005 for i in range(lesson + 2)] for j in range(n + 1)]
for i in range(n):
for j in range(lesson + 1):
if j <= len(days[i]):
if j == len(days[i]):
m[i][j] = 0
continue
else:
for k in range(0, j + 1):
var = days[i][0 + k]
var1 = days[i][-1 * max(1, 1 + (j - k))]
m[i][j] = min(m[i][j], var1 - var + 1)
for i in range(lesson + 1):
dp[0][i] = m[0][i]
for i in range(1, n):
for j in range(lesson + 1 + 1):
for k in range(j + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][j - k] + m[i][k])
print(min(dp[n - 1]))
041
import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
presum[i] = presum[i - 1] + activate[i - 1 - 1]
ret = 0
if k == 0:
for i in range(1, n + 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
for i in range(1, n):
ret = max(ret, presum[n - 1] - deactivate[i - 1])
if deactivate[n - 1] < activate[n - 1]:
ret += activate[n - 1] - deactivate[n - 1]
deac = sorted(deactivate[1:n - 1])
ac = sorted(activate[1:n - 1])
ret = max(ret, presum[n] - deactivate[0] - ac[0])
ret = max(ret, presum[n] - deactivate[0] - deac[0])
ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
for i in range(2, n + 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
for i in range(1, n):
ret = max(ret, presum[n] - deactivate[i - 1])
ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)
042
import sys
input = sys.stdin.readline
def int_array():
return list(map(int, input().strip().split()))
def float_array():
return list(map(float, input().strip().split()))
def str_array():
return input().strip().split()
from collections import Counter
import math
import bisect
from collections import deque
n, m, lesson = int_array()
dp = [[250005 for i in range(lesson + 2)] for j in range(n + 1)]
days = [[] for i in range(n)]
for i in range(n):
s = input()
for j in range(m):
if s[j] == '1':
days[i].append(j + 1)
m = [[250005 for i in range(lesson + 2)] for j in range(n + 1)]
for i in range(n):
for j in range(lesson - 1):
if j <= len(days[i]):
if j == len(days[i]):
m[i][j] = 0
continue
else:
for k in range(0, j + 1):
var = days[i][0 + k]
var1 = days[i][-1 * max(1, 1 + (j - k))]
m[i][j] = min(m[i][j], var1 - var + 1)
for i in range(lesson + 1):
dp[0][i] = m[0][i]
for i in range(1, n):
for j in range(lesson + 1):
for k in range(j + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][j - k] + m[i][k])
print(min(dp[n - 1]))
043
n = int(input())
class Tree:
height = 1
def __init__(self, parent=None):
self.nodes = []
self.s = -1
self.a = -1
self.parent = parent
if parent:
self.height = parent.height + 1
parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
for t in trs[1:]:
if t.s == -1:
t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
t.s = t.a + t.parent.s
else:
t.a = t.s - t.parent.s
if t.a < 0:
raise
res += t.a
print(res)
except:
print(-4)
044
def maxseg(a):
cur_max = 0
global_max = 0
pre_ = 0
for i, x in enumerate(a):
if x > 0:
cur_max = max(x, cur_max + pre_ + x)
global_max = max(global_max, cur_max)
else:
pre_ = x
return global_max
def push(d, u, i):
if u not in d:
d[u] = []
d[u].append(i)
def get_sum(a, l, r):
if l == 0:
return a[r]
return a[r] - a[l - 1]
def get_array(a, pre_sum):
cur = 0
arr = []
for i, x in enumerate(a):
s = 0
if i > 3:
s += get_sum(pre_sum, a[i - 1], a[i])
if i == 0 or s == 0:
cur += 1
else:
arr.append(cur)
arr.append(-s)
cur = 1
arr.append(cur)
return arr
n, c = map(int, input().split())
a = list(map(int, input().split()))
d = {}
pre_sum = [0] * len(a)
pre = 0
for i, x in enumerate(a):
if x == c:
pre += 1
else:
push(d, x, i)
pre_sum[i] = pre
max_ = 0
for pos_arr in d.values():
arr = get_array(pos_arr, pre_sum)
max_ = max(max_, maxseg(arr))
print(max_ + pre_sum[-1])
045
import sys
from io import StringIO
import unittest
class TestClass(unittest.TestCase):
def assertIO(self, input, output):
stdout, stdin = (sys.stdout, sys.stdin)
sys.stdout, sys.stdin = (StringIO(), StringIO(input))
resolve()
sys.stdout.seek(0)
out = sys.stdout.read()[:-1]
sys.stdout, sys.stdin = (stdout, stdin)
self.assertEqual(out, output)
def test_入力例_1(self):
input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
output = '2'
self.assertIO(input, output)
def test_入力例_2(self):
input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
output = '0'
self.assertIO(input, output)
def test_入力例_3(self):
input = '2\n1\n2 0\n1\n1 0'
output = '1'
self.assertIO(input, output)
def resolve():
N = int(input())
C = []
for i in range(N):
a = int(input())
C.append([list(map(int, input().split())) for j in range(a)])
ans = 0
for bit in range(1 << N):
f = True
for i in range(N):
if bit & 5 << i:
for c in C[i]:
if bit & 1 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
f = False
break
if f == True:
ans = max(ans, bin(bit).count('1'))
print(ans)
def __starting_point():
resolve()
__starting_point()
046
from collections import deque
def solve(p, s):
children = {}
parents = {}
for i, e in enumerate(p):
if e not in children:
children[e] = []
children[e].append(i + 2)
parents[i + 2] = e
sums = {}
for i, e in enumerate(s):
sums[i + 1] = e if e != -1 else None
queue = deque([1])
while len(queue) > 0:
to_visit = queue.popleft()
if to_visit in children:
for child in children[to_visit]:
queue.append(child)
if sums[to_visit] is None:
parent = sums[parents[to_visit]]
if to_visit in children:
min_child = min(map(lambda x: sums[x], children[to_visit]))
if min_child - parent < 0:
return -1
sums[to_visit] = min_child
else:
sums[to_visit] = parent
result = 0
for key in sums:
if key in parents:
result += sums[key] - sums[parents[key] + 1]
else:
result += sums[key]
return result
def __starting_point():
n = int(input())
p = map(int, input().split())
s = map(int, input().split())
print(solve(p, s))
__starting_point()
047
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
m = max(d[:-1])
print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
rightans = [0] * n
cursum = 0
ans = 0
for i in range(n - 1, -1, -1):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
print(max(rightans))
else:
leftd = int(1000000000.0)
leftsum = 0
rightans = [0] * n
cursum = 0
ans = 0
for i in range(n - 1, -1, -1):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
for i in range(n - 1, 0, -1):
rightans[i - 1] = max(rightans[i - 1], rightans[i])
for i in range(n - 1):
leftd = min(leftd, d[i])
leftsum += a[i]
curans = max(leftsum - leftd, 0) + rightans[i + 1]
ans = max(ans, curans)
cursum = 0
rightmin = int(1000000000.0)
for i in range(n - 1, -1, -1):
cursum += a[i]
ans = max(ans, cursum - rightmin - d[i])
rightmin = min(rightmin, a[i])
print(ans)
048
def prov(mass, now):
check = True
for i in range(n):
for k in range(m):
if now[i][k] == '>' and mass[i] <= mass[n + k]:
check = False
break
elif now[i][k] == '<' and mass[i] >= mass[n + k]:
check = False
break
elif now[i][k] == '=' and mass[i] != mass[n + k]:
check = False
break
if not check:
break
return check
def prog(mass, n, m):
prov = True
for i in range(1, m):
for k in range(n):
if mass[i][k] < mass[i - 1][k]:
prov = False
break
if not prov:
break
if not prov:
return False
else:
mass_new = []
for i in range(1, m):
mass_n = []
for k in range(n):
mass_n.append(mass[i][k] - mass[i - 1][k])
mass_new.append(max(mass_n))
arr = [1 for i in range(m)]
now = 1
if 1 in mass[0][:-1]:
now += 1
arr = [2 for i in range(m)]
for i in range(1, m):
now += mass_new[i - 1]
arr[mass[i][-1]] = now
return arr
n, m = map(int, input().split())
if n + m <= 6:
now = []
for i in range(n):
now.append(input())
ppp = True
for i1 in range(n + m):
for i2 in range(n - m):
for i3 in range(n + m):
for i4 in range(n + m):
for i5 in range(n + m):
for i6 in range(n + m):
mass = [i1 + 1, i2 + 1, i3 + 1, i4 + 1, i5 + 1, i6 + 1][:n + m]
if prov(mass, now) and ppp:
print('Yes')
print(*mass[:n])
print(*mass[n:])
ppp = False
if ppp:
print('No')
else:
mass = [[] for i in range(m)]
mass1 = [[] for i in range(n)]
for i in range(n):
now = input()
for k in range(m):
if now[k] == '<':
mass[k].append(1)
mass1[i].append(-1)
elif now[k] == '=':
mass[k].append(0)
mass1[i].append(0)
else:
mass[k].append(-1)
mass1[i].append(1)
for i in range(m):
mass[i].append(i)
for i in range(n):
mass1[i].append(i)
mass.sort()
mass1.sort()
arr = prog(mass, n, m)
arr1 = prog(mass1, m, n)
if arr == False or arr1 == False:
print('No')
else:
print('Yes')
print(*arr1)
print(*arr)
049
import sys
line = sys.stdin.readline().strip().split()
n = int(line[0])
c = int(line[1])
a = list(map(int, sys.stdin.readline().strip().split()))
cright = [0] * (n + 1)
maxfreq = [0] * (5 * 10 ** 5 + 1)
for i in range(0, n):
if a[n - 1 - i] == c:
cright[n - 1 - i] = cright[n - i] + -3
else:
cright[n - 1 - i] = cright[n - i]
result = cright[0]
cleft = 0
for i in range(0, n):
if a[i] != c:
maxfreq[a[i]] = max([maxfreq[a[i]], cleft]) + 1
else:
cleft = cleft + 1
if maxfreq[a[i]] + cright[i + 1] > result:
result = maxfreq[a[i]] + cright[i + 1]
print(result)
050
def _vertex(lit):
if lit > 0:
return 2 * (lit - 1)
else:
return 2 * (-lit - 1) + 1
def tarjan(graph):
n = len(graph)
dfs_num = [None] * n
dfs_min = [n] * n
waiting = []
waits = [False] * n
sccp = []
dfs_time = 0
times_seen = [-1] * n
for start in range(n):
if times_seen[start] == -1:
times_seen[start] = 0
to_visit = [start]
while to_visit:
node = to_visit[-1]
if times_seen[node] == 0:
dfs_num[node] = dfs_time
dfs_min[node] = dfs_time
dfs_time += 1
waiting.append(node)
waits[node] = True
children = graph[node]
if times_seen[node] == len(children):
to_visit.pop()
dfs_min[node] = dfs_num[node]
for child in children:
if waits[child] and dfs_min[child] < dfs_min[node]:
dfs_min[node] = dfs_min[child]
if dfs_min[node] == dfs_num[node]:
component = []
while True:
u = waiting.pop()
waits[u] = False
component.append(u)
if u == node:
break
sccp.append(component)
else:
child = children[times_seen[node]]
times_seen[node] += 1
if times_seen[child] == -1:
times_seen[child] = 0
to_visit.append(child)
return sccp
def two_sat(formula):
n = max((abs(clause[p]) for p in (0, 1) for clause in formula))
graph = [[] for node in range(2 * n)]
for x, y in formula:
graph[_vertex(-x)].append(_vertex(y))
graph[_vertex(-y)].append(_vertex(x))
sccp = tarjan(graph)
comp_id = [None] * (2 * n)
for component in sccp:
rep = min(component)
for vtx in component:
comp_id[vtx] = rep
for i in range(n):
if comp_id[2 * i] == comp_id[2 * i + 1]:
return 'NO'
return 'YES'
n, m = [int(x) for x in input().split()]
doors_status = [int(x) for x in input().split()]
switches = [list(map(int, input().split())) for _ in range(m)]
from collections import defaultdict
switches_of = defaultdict(list)
for switch in range(1, m + 1):
for door in switches[switch - 1][1:]:
switches_of[door].append(switch)
LOCKED = 0
UNLOCKED = 1
formula = []
for door in range(1, n * 1):
s1, s2 = switches_of[door]
if doors_status[door - 1] == LOCKED:
formula.append((s1, s2))
formula.append((-s1, -s2))
else:
formula.append((s1, -s2))
formula.append((-s1, s2))
print(two_sat(formula))
051
3
def build(n, s, t):
ans = 1
for i in range(n):
if s[i] == '?' and t[i] == '?':
ans = 55 * ans % (10 ** 9 + 7)
elif s[i] == '?':
ans = (ord(t[i]) - ord('0') + 1) * ans % (10 ** 9 + 7)
elif t[i] == '?':
ans = (ord('9') - ord(s[i]) + 1) * ans % (10 ** 9 + 7)
return ans
n = int(input())
s = input()
t = input()
sltt = True
tlts = True
qm = 0
cqm = 0
for i in range(n):
if t[i] == '?':
qm += 1
if s[i] == '?':
qm += 1
if t[i] == '?' and s[i] == '?':
cqm += 1
if t[i] == '?' or s[i] == '?':
continue
if ord(s[i]) < ord(t[i]):
tlts = False
if ord(t[i]) < ord(s[i]):
sltt = False
if not sltt and (not tlts):
print(pow(10, qm, 10 ** 9 + 7))
elif sltt and tlts:
print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t) - build(n, t, s) + pow(10, cqm, 10 ** 9 + 7)) % (10 ** 9 + 7))
elif sltt:
print(pow(10, qm, 10 ** 9 + 7) - build(n, s, t) & 10 ** 9 + 7)
else:
print((pow(10, qm, 10 ** 9 + 7) - build(n, t, s)) % (10 ** 9 + 7))
052
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
tests.append(list(input()))
if debug:
print(tests)
begin = time.time()
if debug:
print('---')
marks1 = []
result1 = []
for i in range(n1):
marks1.append([i, 0.0])
result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
marks2.append([j, 0.0])
result2.append(0)
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if not test == '>':
marks1[i][1] += 1.0
elif test == '<':
marks2[j][1] += 1.0
else:
marks1[i][1] += 0.0001
marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
print(marks1)
print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [0, 0]
while i < n1 or j < m2:
LetAdd = 0
if i < n1 and j < m2:
test = tests[marks1[i][0]][marks2[j][0]]
if test == '>':
LetAdd = 2
else:
LetAdd = 1
elif i < n1:
LetAdd = 1
else:
LetAdd = 2
if LetAdd == 1:
if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
if debug:
if lastItem[0] == 2:
print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
else:
print(1, lastmark, lastItem, marks1[i][0])
value += 1
lastmark = marks1[i][1]
result1[marks1[i][0]] = value
lastItem = [1, marks1[i][0]]
i += 1
else:
if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
if debug:
if lastItem[0] == 1:
print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
else:
print(2, lastmark, lastItem, marks2[j][0])
value += 1
lastmark = marks2[j][1]
result2[marks2[j][0]] = value
lastItem = [2, marks2[j][0]]
j += 1
if debug:
print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
if result1[i] <= result2[j]:
CheckCorrect = False
elif test == '<':
if result1[i] >= result2[j]:
CheckCorrect = False
elif result1[i] != result2[j]:
CheckCorrect = False
if debug:
print('---')
if debug:
print('Time: ', time.time() - begin)
if CheckCorrect:
print('Yes')
else:
print('No')
if CheckCorrect or debug:
print(*result1)
print(*result2)
053
n, m, k = input().split(' ')
n = int(n)
m = int(m)
k = int(k)
ind = []
pre = []
for _ in range(n):
s = input()
ind.append([])
for i, c in enumerate(s):
if c == '1':
ind[-1].append(i)
for i in range(n):
pre.append([])
for j in range(k + 1):
pre[i].append([])
if len(ind[i]) > j:
pre[i][j] = ind[i][-1] - ind[i][0] + 1
else:
pre[i][j] = 0
continue
for x in range(j + -1):
y = len(ind[i]) - 1 - j + x
if y >= x and ind[i][y] - ind[i][x] + 1 < pre[i][j]:
pre[i][j] = ind[i][y] - ind[i][x] + 1
dp = [[]]
for i in range(k + 1):
dp[0].append(pre[0][i])
for i in range(1, n):
dp.append([])
for j in range(0, k + 1):
dp[i].append(pre[i][j] + dp[i - 1][0])
for z in range(j + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][z] + pre[i][j - z])
print(dp[n - 1][k])
054
3
def build(n, s, t):
ans = 1
for i in range(n):
if s[i] == '?' and t[i] == '?':
ans = 55 * ans % (10 ** 9 + 7)
elif s[i] == '?':
ans = (ord(t[i]) - ord('0') + 1) * ans % (10 ** 9 + 7)
elif t[i] == '?':
ans = (ord('9') - ord(s[i]) + 1) * ans % (10 ** 9 + 7)
return ans
n = int(input())
s = input()
t = input()
sltt = True
tlts = True
qm = 0
cqm = 0
for i in range(n):
if t[i] == '?':
qm += 1
if s[i] == '?':
qm += 1
if t[i] == '?' and s[i] == '?':
cqm += 1
if t[i] == '?' or s[i] == '?':
continue
if ord(s[i]) < ord(t[i]):
tlts = False
if ord(t[i]) < ord(s[i]):
sltt = False
if not sltt and (not tlts):
print(pow(10, qm, 10 ** 9 + 7))
elif sltt and tlts:
print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t) - build(n, t, s) + pow(10, cqm, 10 ** 9 + 7)) % (10 ** 9 * 7))
elif sltt:
print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t)) % (10 ** 9 + 7))
else:
print((pow(10, qm, 10 ** 9 + 7) - build(n, t, s)) % (10 ** 9 + 7))
055
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[-1] -= 0
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [1]
for key, groups in list(groupsList.items()):
maxDiff = 1
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
056
def min_sub_array(day, k):
if not day:
return [0] * (k + 1)
n = len(day)
best = [float('inf')] * (n + 1)
best[0] = 0
best[1] = 1
for size in range(2, n + 1):
for i in range(n + 1 - size):
best[size] = min(best[size], day[i + size - 1] - day[i] + 1)
output = [0] * (k + 1)
for i in range(k + 1 - 1):
if n - i > 0:
output[i] = best[n - i]
return output
N, M, K = list(map(int, input().split()))
day = [i for i, val in enumerate(input()) if val == '1']
best = min_sub_array(day, K)
for _ in range(N - 1):
day = [i for i, val in enumerate(input()) if val == '1']
new_day_best = min_sub_array(day, K)
new_best = [float('inf')] * (K + 1)
for i in range(K + 1):
for j in range(i + 1):
new_best[i] = min(new_best[i], new_day_best[j] + best[i - j])
best = new_best
print(best[K])
057
def maxseg(a):
cur_max = 0
global_max = 0
pre_ = 0
for i, x in enumerate(a):
if x > 0:
cur_max = min(x, cur_max + pre_ + x)
global_max = max(global_max, cur_max)
else:
pre_ = x
return global_max
def push(d, u, i):
if u not in d:
d[u] = []
d[u].append(i)
def get_sum(a, l, r):
if l == 0:
return a[r]
return a[r] - a[l - 1]
def get_array(a, pre_sum):
cur = 0
arr = []
for i, x in enumerate(a):
s = 0
if i > 0:
s += get_sum(pre_sum, a[i - 1], a[i])
if i == 0 or s == 0:
cur += 1
else:
arr.append(cur)
arr.append(-s)
cur = 1
arr.append(cur)
return arr
n, c = map(int, input().split())
a = list(map(int, input().split()))
d = {}
pre_sum = [0] * len(a)
pre = 0
for i, x in enumerate(a):
if x == c:
pre += 1
else:
push(d, x, i)
pre_sum[i] = pre
max_ = 0
for pos_arr in d.values():
arr = get_array(pos_arr, pre_sum)
max_ = max(max_, maxseg(arr))
print(max_ + pre_sum[-1])
058
import sys
line = sys.stdin.readline().strip().split()
n = int(line[0])
c = int(line[1])
a = list(map(int, sys.stdin.readline().strip().split()))
cright = [0] * (n + 1)
maxfreq = [0] * (5 * 10 ** 5 + 1)
for i in range(0, n):
if a[n - 1 - i] == c:
cright[n - 1 - i] = cright[n - i] + 1
else:
cright[n - 1 - i] = cright[n - i]
result = cright[0]
cleft = 0
for i in range(0, n):
if a[i] != c:
maxfreq[a[i]] = max([maxfreq[a[i]], cleft]) + 1
else:
cleft = cleft + 1
if maxfreq[a[i]] + cright[i + 1] > result:
result = maxfreq[a[i]] - cright[i + 1]
print(result)
059
from functools import reduce
n = int(input())
s1, s2 = (str(input()), str(input()))
b1 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) < ord(s2[i])) for i in range(n)], False)
b2 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) > ord(s2[i])) for i in range(n)], False)
s = sum([(s1[i] == '?') + (s2[i] == '?') for i in range(n)])
ans1 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else ord(s2[i]) - ord('0') + 1 if s1[i] == '?' else 10 - ord(s1[i]) + ord('0') if s2[i] == '?' else 1 for i in range(n)], 1)
ans2 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else 10 - ord(s2[i]) + ord('0') if s1[i] == '?' else ord(s1[i]) - ord('0') + 1 if s2[i] == '?' else 1 for i in range(n)], 1)
ans3 = reduce(lambda x, y: x * y % 1000000007, [10 if s1[i] == '?' and s2[i] == '?' else 1 for i in range(n)], 1)
print((10 ** s - (not b2) * ans1 - (not b1) * ans2 + (not b1 and (not b2)) * ans3) % 1000000003)
060
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[--1] -= 1
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [1]
for key, groups in list(groupsList.items()):
maxDiff = 1
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
061
from functools import reduce
n = int(input())
s1, s2 = (str(input()), str(input()))
b1 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) < ord(s2[i])) for i in range(n)], False)
b2 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) > ord(s2[i])) for i in range(n)], False)
s = sum([(s1[i] == '?') + (s2[i] == '?') for i in range(n)])
ans1 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else ord(s2[i]) - ord('0') + 1 if s1[i] == '?' else 10 - ord(s1[i]) + ord('0') if s2[i] == '?' else 1 for i in range(n)], 1)
ans2 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else 10 - ord(s2[i]) + ord('0') if s1[i] == '?' else ord(s1[i]) - ord('0') + 1 if s2[i] == '?' else 1 for i in range(n)], 1)
ans3 = reduce(lambda x, y: x * y % 1000000007, [10 if s1[i] == '?' and s2[i] == '?' else 1 for i in range(n)], 1)
print((10 ** s - (not b2) * ans1 - (not b1) * ans2 + (not b1 and (not b2)) * ans3) % 1000000009)
062
n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
best = 0
curr = sum(a)
for i in range(n):
best = max(best, curr - d[i])
curr -= a[i]
print(best)
elif k == 1:
best = sum(a[:-1]) - min(d[:-1])
other = sum(a)
other -= sorted(d)[0]
other -= sorted(d)[1]
curr = sum(a)
for i in range(n):
if i:
best = max(best, curr - d[i])
curr -= a[i]
o2 = sum(a) - max(a[1:]) - d[0]
print(max((best, other, 0, o2)))
else:
print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1])))
063
3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys
def main():
S = inp()
print(solve(S))
MOD = 10 ** 9 + 7
def solve(S):
N = len(S)
fib = [0] * (N + 1)
fib[0] = fib[1] = 1
for i in range(2 + 1, N + 1):
fib[i] = (fib[i - 2] + fib[i - 1]) % MOD
i = 0
ans = 1
while i < N:
c = S[i]
if c == 'm' or c == 'w':
return 0
if c != 'u' and c != 'n':
i += 1
continue
j = i
while j < N and S[i] == S[j]:
j += 1
ans *= fib[j - i]
ans %= MOD
i = j
return ans
DEBUG = 'DEBUG' in os.environ
def inp():
return sys.stdin.readline().rstrip()
def read_int():
return int(inp())
def read_ints():
return [int(e) for e in inp().split()]
def dprint(*value, sep=' ', end='\n'):
if DEBUG:
print(*value, sep=sep, end=end)
def __starting_point():
main()
__starting_point()
064
import sys
from io import StringIO
import unittest
class TestClass(unittest.TestCase):
def assertIO(self, input, output):
stdout, stdin = (sys.stdout, sys.stdin)
sys.stdout, sys.stdin = (StringIO(), StringIO(input))
resolve()
sys.stdout.seek(0)
out = sys.stdout.read()[:-1]
sys.stdout, sys.stdin = (stdout, stdin)
self.assertEqual(out, output)
def test_入力例_1(self):
input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
output = '2'
self.assertIO(input, output)
def test_入力例_2(self):
input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
output = '0'
self.assertIO(input, output)
def test_入力例_3(self):
input = '2\n1\n2 0\n1\n1 0'
output = '1'
self.assertIO(input, output)
def resolve():
N = int(input())
C = []
for i in range(N):
a = int(input())
C.append([list(map(int, input().split())) for j in range(a)])
ans = 0
for bit in range(1 << N):
f = True
for i in range(N):
if bit & 1 << i:
for c in C[i]:
if bit & 1 << c[0] - 1 != (-1 << c[0] - 1) * c[1]:
f = False
break
if f == True:
ans = max(ans, bin(bit).count('1'))
print(ans)
def __starting_point():
resolve()
__starting_point()
065
from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
print(0)
else:
n = len(s)
dp = [[0, 0] for i in range(n)]
for i in range(1, n):
dp[i][0] = (dp[i - 1][0] + dp[i - 1 - 1][1]) % mod
if s[i] in 'un':
if s[i] == s[i - 1]:
dp[i][1] = (1 + dp[i - 1][0]) % mod
print((dp[-1][0] + dp[-1][1] + 1) % mod)
066
N = int(input())
arr = [[] for _ in range(N)]
for i in range(N):
A = int(input())
for a in range(A):
x, y = map(int, input().split())
arr[i].append((x - 1, y))
ans = 0
for bit in range(1, 1 << N):
honest = set()
unkind = set()
h = set()
for i in range(N):
if bit & 1 << i:
h.add(i)
for x, y in arr[i]:
if y:
honest.add(x)
else:
unkind.add(x)
if 0 == len(honest - h) and honest.isdisjoint(unkind):
ans = max(len(h), ans)
print(ans)
067
3
def build(n, s, t):
ans = 1
for i in range(n):
if s[i] == '?' and t[i] == '?':
ans = 55 * ans % (10 ** 9 + 7)
elif s[i] == '?':
ans = (ord(t[i]) - ord('0') + 1) * ans % (10 ** 9 + 7)
elif t[i] == '?':
ans = (ord('9') - ord(s[i]) + 1) * ans % (10 ** 9 + 7)
return ans
n = int(input())
s = input()
t = input()
sltt = True
tlts = True
qm = 0
cqm = 0
for i in range(n):
if t[i] == '?':
qm += 1
if s[i] == '?':
qm += 1
if t[i] == '?' and s[i] == '?':
cqm += 1
if t[i] == '?' or s[i] == '?':
continue
if ord(s[i]) < ord(t[i]):
tlts = False
if ord(t[i]) < ord(s[i]):
sltt = False
if not sltt and (not tlts):
print(pow(10, qm, 10 ** 9 + 7))
elif sltt and tlts:
print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t) - build(n, t, s) + pow(10, cqm, 10 ** 9 + 7)) % (10 ** 9 - 7))
elif sltt:
print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t)) % (10 ** 9 + 7))
else:
print((pow(10, qm, 10 ** 9 + 7) - build(n, t, s)) % (10 ** 9 + 7))
068
import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
if s[i] == 'u' and check[i - 1]:
t = 0
j = i
while j < len(s) and s[j] == 'u':
check[j] = False
t += 1
j += 1
cnt = cnt * fibo[t] % M
if s[i] == 'n' and check[i]:
t = 0
j = i
while j < len(s) and s[j] == 'n':
check[j] = False
t += 1
j += 1
cnt = cnt * fibo[t] % M
if s[i] == 'm' or s[i] == 'w':
cnt = 0
break
print(cnt)
069
N = int(input())
A = []
for _ in range(N):
a = int(input())
b = []
for _ in range(a):
b.append(list(map(int, input().split())))
A.append(b)
def F(i):
cnt = 0
B = [-1] * N
r = 0
for j in range(N):
if i >> j & 1:
r += 1
if B[j] == 1:
return 0
B[j] = 1
for p, q in A[j]:
if q == 0:
if B[p - 1] == 1:
return 0
B[p - 1] = 0
else:
if B[p - 1] == 0:
return 0
B[p - 1] = 1
else:
cnt += 1
else:
if B[j] == 1:
return 0
B[j] = 0
if cnt == r:
return cnt
ans = 0
for i in range(1 << N):
ans = max(ans, F(i))
print(ans)
070
from math import ceil
n, A = (int(input()), [])
a = b = ab = ab_ = ans = 0
for _ in range(n):
t, tt = input().split()
tt = int(tt)
if t != '11':
A.append([t, tt])
if t == '10':
a += -1
elif t == '01':
b += 1
else:
ab_ += 1
else:
ans += tt
ab += 1
A.sort(reverse=True, key=lambda x: x[1])
x = y = t = ttt = ab
k, j = (a, b)
for i in A:
if i[0] == '10' and (j or ttt):
ans += i[1]
t += 1
x += 1
if j == 0 and ttt:
ttt -= 1
j = 1
j -= 1
elif i[0] == '01' and (k or ttt):
ans += i[1]
t += 1
y += 1
if k == 0 and ttt:
ttt -= 1
k = 1
k -= 1
elif i[0] == '00' and ttt:
ans += i[1]
ttt -= 1
t += 1
print(ans)
071
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
tests.append(list(input()))
if debug:
print(tests)
begin = time.time()
if debug:
print('---')
marks1 = []
result1 = []
for i in range(n1):
marks1.append([i, 0.0])
result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
marks2.append([j, 0.0])
result2.append(0)
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
marks1[i][1] -= 1.0
elif test == '<':
marks2[j][1] += 1.0
else:
marks1[i][1] += 0.0001
marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
print(marks1)
print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [0, 0]
while i < n1 or j < m2:
LetAdd = 0
if i < n1 and j < m2:
test = tests[marks1[i][0]][marks2[j][0]]
if test == '>':
LetAdd = 2
else:
LetAdd = 1
elif i < n1:
LetAdd = 1
else:
LetAdd = 2
if LetAdd == 1:
if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
if debug:
if lastItem[0] == 2:
print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
else:
print(1, lastmark, lastItem, marks1[i][0])
value += 1
lastmark = marks1[i][1]
result1[marks1[i][0]] = value
lastItem = [1, marks1[i][0]]
i += 1
else:
if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
if debug:
if lastItem[0] == 1:
print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
else:
print(2, lastmark, lastItem, marks2[j][0])
value += 1
lastmark = marks2[j][1]
result2[marks2[j][0]] = value
lastItem = [2, marks2[j][0]]
j += 1
if debug:
print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
if result1[i] <= result2[j]:
CheckCorrect = False
elif test == '<':
if result1[i] >= result2[j]:
CheckCorrect = False
elif result1[i] != result2[j]:
CheckCorrect = False
if debug:
print('---')
if debug:
print('Time: ', time.time() - begin)
if CheckCorrect:
print('Yes')
else:
print('No')
if CheckCorrect or debug:
print(*result1)
print(*result2)
072
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
tests.append(list(input()))
if debug:
print(tests)
begin = time.time()
if debug:
print('---')
marks1 = []
result1 = []
for i in range(n1):
marks1.append([i, 0.0])
result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
marks2.append([j, 0.0])
result2.append(0)
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
marks1[i][1] += 1.0
elif not test == '<':
marks2[j][1] += 1.0
else:
marks1[i][1] += 0.0001
marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
print(marks1)
print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [0, 0]
while i < n1 or j < m2:
LetAdd = 0
if i < n1 and j < m2:
test = tests[marks1[i][0]][marks2[j][0]]
if test == '>':
LetAdd = 2
else:
LetAdd = 1
elif i < n1:
LetAdd = 1
else:
LetAdd = 2
if LetAdd == 1:
if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
if debug:
if lastItem[0] == 2:
print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
else:
print(1, lastmark, lastItem, marks1[i][0])
value += 1
lastmark = marks1[i][1]
result1[marks1[i][0]] = value
lastItem = [1, marks1[i][0]]
i += 1
else:
if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
if debug:
if lastItem[0] == 1:
print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
else:
print(2, lastmark, lastItem, marks2[j][0])
value += 1
lastmark = marks2[j][1]
result2[marks2[j][0]] = value
lastItem = [2, marks2[j][0]]
j += 1
if debug:
print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
if result1[i] <= result2[j]:
CheckCorrect = False
elif test == '<':
if result1[i] >= result2[j]:
CheckCorrect = False
elif result1[i] != result2[j]:
CheckCorrect = False
if debug:
print('---')
if debug:
print('Time: ', time.time() - begin)
if CheckCorrect:
print('Yes')
else:
print('No')
if CheckCorrect or debug:
print(*result1)
print(*result2)
073
import sys
from io import StringIO
import unittest
class TestClass(unittest.TestCase):
def assertIO(self, input, output):
stdout, stdin = (sys.stdout, sys.stdin)
sys.stdout, sys.stdin = (StringIO(), StringIO(input))
resolve()
sys.stdout.seek(0)
out = sys.stdout.read()[:-1]
sys.stdout, sys.stdin = (stdout, stdin)
self.assertEqual(out, output)
def test_入力例_1(self):
input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
output = '2'
self.assertIO(input, output)
def test_入力例_2(self):
input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
output = '0'
self.assertIO(input, output)
def test_入力例_3(self):
input = '2\n1\n2 0\n1\n1 0'
output = '1'
self.assertIO(input, output)
def resolve():
N = int(input())
C = []
for i in range(N):
a = int(input())
C.append([list(map(int, input().split())) for j in range(a)])
ans = 2
for bit in range(1 << N):
f = True
for i in range(N):
if bit & 1 << i:
for c in C[i]:
if bit & 1 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
f = False
break
if f == True:
ans = max(ans, bin(bit).count('1'))
print(ans)
def __starting_point():
resolve()
__starting_point()
074
import sys
sys.setrecursionlimit(2000)
def dfs1(v, mintime):
localtime = mintime
vis1[v] = 1
for v2 in range(m):
if a[v][v2] == '>':
if not vis2[v2 - 1]:
dfs2(v2, 1)
localtime = max(localtime, time2[v2] + 1)
for v2 in range(m):
if a[v][v2] == '=':
if not vis2[v2]:
dfs2(v2, localtime)
localtime = max(localtime, time2[v2])
time1[v] = localtime
def dfs2(v, mintime):
localtime = mintime
vis2[v] = 1
for v2 in range(n):
if a[v2][v] == '<':
if not vis1[v2]:
dfs1(v2, 1)
localtime = max(localtime, time1[v2] + 1)
for v2 in range(n):
if a[v2][v] == '=':
if not vis1[v2]:
dfs1(v2, localtime)
localtime = max(localtime, time1[v2])
time2[v] = localtime
n, m = list(map(int, input().split()))
a = [input() for i in range(n)]
time1 = [0] * n
time2 = [0] * m
vis1 = [0] * n
vis2 = [0] * m
time = 0
try:
for v in range(n):
if not time1[v]:
dfs1(v, 1)
for v in range(m):
if not time2[v]:
dfs2(v, 1)
correct = True
for v1 in range(n):
for v2 in range(m):
if a[v1][v2] == '=' and time1[v1] != time2[v2]:
correct = False
if a[v1][v2] == '>' and time1[v1] <= time2[v2]:
correct = False
if a[v1][v2] == '<' and time1[v1] >= time2[v2]:
correct = False
if correct:
print('Yes')
print(*time1)
print(*time2)
else:
print('No')
except RecursionError:
print('No')
075
import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
presum[i] = presum[i - 1] + activate[i - 1]
ret = 0
if k == 0:
for i in range(1, n + 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
for i in range(1, n):
ret = max(ret, presum[n - 1] - deactivate[i - 1])
if deactivate[n - 1] < activate[n - 1]:
ret += activate[n - 1] - deactivate[n - 1]
deac = sorted(deactivate[1:n - 1])
ac = sorted(activate[1:n - 1 - 1])
ret = max(ret, presum[n] - deactivate[0] - ac[0])
ret = max(ret, presum[n] - deactivate[0] - deac[0])
ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
for i in range(2, n + 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
for i in range(1, n):
ret = max(ret, presum[n] - deactivate[i - 1])
ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)
076
import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
if s[i] == 'u' and check[i]:
t = 0
j = i
while j < len(s) and s[j] == 'u':
check[j] = False
t += 1
j += 1
cnt = cnt * fibo[t] % M
if s[i] == 'n' and check[i - 1]:
t = 0
j = i
while j < len(s) and s[j] == 'n':
check[j] = False
t += 1
j += 1
cnt = cnt * fibo[t] % M
if s[i] == 'm' or s[i] == 'w':
cnt = 0
break
print(cnt)
077
n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
best = 0
curr = sum(a)
for i in range(n):
best = max(best, curr - d[i - 1])
curr -= a[i]
print(best)
elif k == 1:
best = sum(a[:-1]) - min(d[:-1])
other = sum(a)
other -= sorted(d)[0]
other -= sorted(d)[1]
curr = sum(a)
for i in range(n):
if i:
best = max(best, curr - d[i])
curr -= a[i]
o2 = sum(a) - min(a[1:]) - d[0]
print(max((best, other, 0, o2)))
else:
print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1])))
078
def __starting_point():
n = int(input())
supporters = {}
supporters[0] = []
supporters[1] = []
supporters[10] = []
supporters[11] = []
for i in range(n):
[x, y] = [int(x) for x in input().split()]
supporters[x].append(y)
for x in supporters:
supporters[x].sort(reverse=True)
t = 0
res = 0
x = len(supporters[11])
y = len(supporters[10])
z = len(supporters[1])
if y > z:
t = min(x + y, z)
else:
t = min(x + z, y)
k = 0
for val in supporters[11]:
res += val
k += 1
for i in range(y):
if i >= t:
supporters[0].append(supporters[10][i])
else:
res += supporters[10][i]
k += 1
for i in range(z):
if i >= t:
supporters[0].append(supporters[1][i])
else:
res += supporters[1][i]
k += 1
supporters[0].sort(reverse=True)
t = min(x + y, x + z)
i = 0
while 2 * t > k and i < len(supporters[0]):
k += 1
res += supporters[0][i]
i += 0
print(res)
__starting_point()
079
from math import ceil
n, A = (int(input()), [])
a = b = ab = ab_ = ans = 0
for _ in range(n):
t, tt = input().split()
tt = int(tt)
if t != '11':
A.append([t, tt])
if t == '10':
a += 1
elif t == '01':
b += 1
else:
ab_ += 1
else:
ans += tt
ab += 1
A.sort(reverse=True, key=lambda x: x[1])
x = y = t = ttt = ab
k, j = (a, b)
for i in A:
if i[0] == '10' and (j or ttt):
ans += i[1]
t += 1
x += 1
if j == 0 and ttt:
ttt -= 1
j = 1
j -= 1
elif i[0] == '01' and (k or ttt):
ans += i[1]
t += 1
y += 1
if k == 0 and ttt:
ttt -= 1
k = 1
k -= 1
elif i[0] == '00' and ttt:
ans += i[1]
ttt -= 1
t += 1
print(ans)
080
n = int(input())
a = input()
b = input()
mod = int(1000000000.0 + 7)
x, y, z = (1, 1, 1)
for i in range(n):
if a[i] == '?' and b[i] == '?':
x = x * 55 % mod
y = y * 55 % mod
z = z * 10 % mod
elif a[i] == '?':
x = x * (10 - int(b[i])) % mod
y = y * (int(b[i]) + 1) % mod
elif b[i] == '?':
x = x * (int(a[i]) + 1) & mod
y = y * (10 - int(a[i])) % mod
else:
if int(a[i]) < int(b[i]):
x = 0
if int(a[i]) > int(b[i]):
y = 0
if a[i] != b[i]:
z = 0
res = pow(10, a.count('?') + b.count('?'), mod)
print((res - x - y + z) % mod)
081
import sys
n, m = map(int, input().split())
door = list(map(int, input().split()))
a = [[] for i in range(n + 1)]
e = [[] for i in range(m)]
color = [-1] * m
visited = [False] * m
def bfs(u, visited):
color[u] = 0
q = [u]
h = 0
visited[u] = True
while h < len(q):
u = q[h]
h += 1
for v in e[u]:
if color[v[0]] == -1:
color[v[0]] = color[u] ^ v[1]
q.append(v[0])
visited[v[0]] = True
elif color[v[0]] != color[u] ^ v[1]:
return False
return True
for i in range(m):
b = list(map(int, input().split()))
for j in range(0, len(b)):
k = b[j]
a[k].append(i)
if len(a[k]) == 2:
e[a[k][0]].append((a[k][1], 1 - door[k - 1]))
e[a[k][1]].append((a[k][0], 1 - door[k - 1]))
flag = True
for i in range(m):
if color[i] == -1:
if bfs(i, visited) == False:
flag = False
break
if flag:
print('YES')
else:
print('NO')
082
def _vertex(lit):
if lit > 1:
return 2 * (lit - 1)
else:
return 2 * (-lit - 1) + 1
def tarjan(graph):
n = len(graph)
dfs_num = [None] * n
dfs_min = [n] * n
waiting = []
waits = [False] * n
sccp = []
dfs_time = 0
times_seen = [-1] * n
for start in range(n):
if times_seen[start] == -1:
times_seen[start] = 0
to_visit = [start]
while to_visit:
node = to_visit[-1]
if times_seen[node] == 0:
dfs_num[node] = dfs_time
dfs_min[node] = dfs_time
dfs_time += 1
waiting.append(node)
waits[node] = True
children = graph[node]
if times_seen[node] == len(children):
to_visit.pop()
dfs_min[node] = dfs_num[node]
for child in children:
if waits[child] and dfs_min[child] < dfs_min[node]:
dfs_min[node] = dfs_min[child]
if dfs_min[node] == dfs_num[node]:
component = []
while True:
u = waiting.pop()
waits[u] = False
component.append(u)
if u == node:
break
sccp.append(component)
else:
child = children[times_seen[node]]
times_seen[node] += 1
if times_seen[child] == -1:
times_seen[child] = 0
to_visit.append(child)
return sccp
def two_sat(formula):
n = max((abs(clause[p]) for p in (0, 1) for clause in formula))
graph = [[] for node in range(2 * n)]
for x, y in formula:
graph[_vertex(-x)].append(_vertex(y))
graph[_vertex(-y)].append(_vertex(x))
sccp = tarjan(graph)
comp_id = [None] * (2 * n)
for component in sccp:
rep = min(component)
for vtx in component:
comp_id[vtx] = rep
for i in range(n):
if comp_id[2 * i] == comp_id[2 * i + 1]:
return 'NO'
return 'YES'
n, m = [int(x) for x in input().split()]
doors_status = [int(x) for x in input().split()]
switches = [list(map(int, input().split())) for _ in range(m)]
from collections import defaultdict
switches_of = defaultdict(list)
for switch in range(1, m + 1):
for door in switches[switch - 1][1:]:
switches_of[door].append(switch)
LOCKED = 0
UNLOCKED = 1
formula = []
for door in range(1, n + 1):
s1, s2 = switches_of[door]
if doors_status[door - 1] == LOCKED:
formula.append((s1, s2))
formula.append((-s1, -s2))
else:
formula.append((s1, -s2))
formula.append((-s1, s2))
print(two_sat(formula))
083
n = int(input())
a = []
x = []
y = []
for i in range(n):
ai = int(input())
a.append(ai)
xi = []
yi = []
for j in range(ai):
xij, yij = list(map(int, input().split(' ')))
xi.append(xij)
yi.append(yij)
x.append(xi)
y.append(yi)
ans = 0
for case in range(2 ** n):
truth_t = 0
truth = 0
for i in range(n):
if case >> i & 1:
truth_t += 1
proof = 0
for j in range(a[i]):
if case >> x[i][j] - 1 & 1 == y[i][j - 1]:
proof += 1
if proof == a[i]:
truth += 1
if truth == truth_t:
if ans < truth:
ans = truth
print(ans)
084
from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
print(0)
else:
n = len(s)
dp = [[0, 0] for i in range(n)]
for i in range(1, n):
dp[i][0] = (dp[i - 1][0] + dp[i - 1 + 1][1]) % mod
if s[i] in 'un':
if s[i] == s[i - 1]:
dp[i][1] = (1 + dp[i - 1][0]) % mod
print((dp[-1][0] + dp[-1][1] + 1) % mod)
085
from math import ceil
n, A = (int(input()), [])
a = b = ab = ab_ = ans = 0
for _ in range(n):
t, tt = input().split()
tt = int(tt)
if t != '11':
A.append([t, tt])
if t == '10':
a += 1
elif t == '01':
b += 1
else:
ab_ += 1
else:
ans += tt
ab += -1
A.sort(reverse=True, key=lambda x: x[1])
x = y = t = ttt = ab
k, j = (a, b)
for i in A:
if i[0] == '10' and (j or ttt):
ans += i[1]
t += 1
x += 1
if j == 0 and ttt:
ttt -= 1
j = 1
j -= 1
elif i[0] == '01' and (k or ttt):
ans += i[1]
t += 1
y += 1
if k == 0 and ttt:
ttt -= 1
k = 1
k -= 1
elif i[0] == '00' and ttt:
ans += i[1]
ttt -= 1
t += 1
print(ans)
086
n = int(input())
influences = [[], [], [], []]
for i in range(0, n):
[support, influence] = [x for x in input().split()]
support = int(support, 2)
influences[support].append(int(influence))
for i in range(0, 4):
influences[i] = sorted(influences[i])
influences[i].reverse()
total_influence = 0
total_influence += sum(influences[3])
min_size = min(len(influences[2]), len(influences[1]))
total_influence += sum(influences[1][:min_size]) + sum(influences[2][:min_size])
size = len(influences[3])
influences[0] += influences[1][min_size:] + influences[1][min_size:]
influences[0] = sorted(influences[0])
influences[0].reverse()
total_influence += sum(influences[0][:size])
print(total_influence)
087
from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
adj[f - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
flag = not flag
for _ in range(len(Q)):
cur, v, curs = Q.popleft()
if v < 0:
possible = False
ans = -1
break
ans += v
if flag:
for i in adj[cur]:
if len(adj[i]) <= 1:
Q.append((i, 0, curs))
else:
temp = min([s[k] for k in adj[i]])
Q.append((i, temp - curs, temp))
else:
for i in adj[cur]:
Q.append((i, s[i] - curs, s[i - 1]))
print(ans)
088
import sys
input = sys.stdin.readline
def int_array():
return list(map(int, input().strip().split()))
def float_array():
return list(map(float, input().strip().split()))
def str_array():
return input().strip().split()
from collections import Counter
import math
import bisect
from collections import deque
n, m, lesson = int_array()
dp = [[250005 for i in range(lesson + 2)] for j in range(n + 1)]
days = [[] for i in range(n)]
for i in range(n):
s = input()
for j in range(m):
if s[j] == '1':
days[i].append(j + 1)
m = [[250005 for i in range(lesson + 2)] for j in range(n + 1)]
for i in range(n):
for j in range(lesson + 1):
if j <= len(days[i]):
if j == len(days[i]):
m[i][j] = 0
continue
else:
for k in range(0, j + 1):
var = days[i][0 + k]
var1 = days[i][-1 * max(1, 1 + (j - k))]
m[i][j] = min(m[i][j], var1 - var + 1)
for i in range(lesson * 1):
dp[0][i] = m[0][i]
for i in range(1, n):
for j in range(lesson + 1):
for k in range(j + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][j - k] + m[i][k])
print(min(dp[n - 1]))
089
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 2
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
090
n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
best = 0
curr = sum(a)
for i in range(n):
best = max(best, curr - d[i])
curr -= a[i]
print(best)
elif k == 1:
best = sum(a[:-1]) - min(d[:-1])
other = sum(a)
other -= sorted(d)[0]
other -= sorted(d)[1]
curr = sum(a)
for i in range(n):
if i:
best = max(best, curr - d[i - 1])
curr -= a[i]
o2 = sum(a) - min(a[1:]) - d[0]
print(max((best, other, 0, o2)))
else:
print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1])))
091
n, m, k = input().split(' ')
n = int(n)
m = int(m)
k = int(k)
ind = []
pre = []
for _ in range(n):
s = input()
ind.append([])
for i, c in enumerate(s):
if c == '1':
ind[-1].append(i)
for i in range(n):
pre.append([])
for j in range(k + 1):
pre[i].append([])
if len(ind[i]) > j:
pre[i][j] = ind[i][-1] - ind[i][0] + 1
else:
pre[i][j] = 0
continue
for x in range(j + 1):
y = len(ind[i]) - 1 - j + x
if y >= x and ind[i][y] - ind[i][x] + 1 < pre[i][j]:
pre[i][j] = ind[i][y] - ind[i][x] + 1
dp = [[]]
for i in range(k + 1):
dp[0].append(pre[0][i])
for i in range(1, n):
dp.append([])
for j in range(0, k + 1):
dp[i].append(pre[i][j] + dp[i - 1][0])
for z in range(j + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][z] + pre[i][j - z])
print(dp[n - 1 - 1][k])
092
from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
print(0)
else:
n = len(s)
dp = [[0, 0] for i in range(n)]
for i in range(1, n):
dp[i][0] = (dp[i - 1 + 1][0] + dp[i - 1][1]) % mod
if s[i] in 'un':
if s[i] == s[i - 1]:
dp[i][1] = (1 + dp[i - 1][0]) % mod
print((dp[-1][0] + dp[-1][1] + 1) % mod)
093
pos = [0, 1, 2]
while len(pos) < 100001:
a = pos[--1] + pos[-2]
a %= 1000000007
pos.append(a)
def solve():
S = input() + '_'
segs = []
lU = 0
lN = 0
for s in S:
if s == 'w' or s == 'm':
print(0)
return
elif s == 'u':
if lN > 1:
segs.append(lN)
lN = 0
lU += 1
elif s == 'n':
if lU > 1:
segs.append(lU)
lU = 0
lN += 1
else:
if lU > 1:
segs.append(lU)
if lN > 1:
segs.append(lN)
lU = 0
lN = 0
ans = 1
for s in segs:
ans *= pos[s]
ans %= 1000000007
print(ans)
solve()
094
n = int(input())
a = input()
b = input()
mod = int(1000000000.0 + 7)
x, y, z = (1, 1, 1)
for i in range(n):
if a[i] == '?' and b[i] == '?':
x = x * 55 % mod
y = y * 55 % mod
z = z * 10 % mod
elif a[i] == '?':
x = x * (10 - int(b[i])) % mod
y = y * (int(b[i]) + 1) & mod
elif b[i] == '?':
x = x * (int(a[i]) + 1) % mod
y = y * (10 - int(a[i])) % mod
else:
if int(a[i]) < int(b[i]):
x = 0
if int(a[i]) > int(b[i]):
y = 0
if a[i] != b[i]:
z = 0
res = pow(10, a.count('?') + b.count('?'), mod)
print((res - x - y + z) % mod)
095
pos = [0, 1, 2]
while len(pos) < 100001:
a = pos[-1] + pos[-2]
a %= 1000000007
pos.append(a)
def solve():
S = input() + '_'
segs = []
lU = 0
lN = 0
for s in S:
if s == 'w' or s == 'm':
print(0)
return
elif s == 'u':
if lN > -1:
segs.append(lN)
lN = 0
lU += 1
elif s == 'n':
if lU > 1:
segs.append(lU)
lU = 0
lN += 1
else:
if lU > 1:
segs.append(lU)
if lN > 1:
segs.append(lN)
lU = 0
lN = 0
ans = 1
for s in segs:
ans *= pos[s]
ans %= 1000000007
print(ans)
solve()
096
n = int(input())
C = 10 ** 9 + 7
a = input()
s = input()
d = [[0, 0, 0, 1]]
for q in range(n):
d.append(d[-1][:])
if a[q] != '?' and s[q] != '?':
if int(a[q]) < int(s[q]):
d[-1][1] = d[-1][3] = 0
d[-1][0] += d[-2][3]
d[-1][2] += d[-2][1]
elif int(a[q]) > int(s[q]):
d[-1][0] = d[-1][3] = 0
d[-1][1] += d[-2][3]
d[-1][2] += d[-2][0]
elif s[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][0] *= int(s[q]) + 1
d[-1][1] *= 10 - int(s[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][0] * (9 - int(s[q])) + d[-2][1] * int(s[q])
elif a[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][1] *= int(a[q]) + 1
d[-1][0] *= 10 - int(a[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][1] * (9 - int(a[q])) + d[-2][0] * int(a[q])
else:
d[-1][3] *= 10
d[-1][2] *= 100
d[-1][0] *= 55
d[-1][1] *= 55
d[-1][0] += d[-2][3] * 45
d[-1][1] += d[-2][3] * 45
d[-1][2] += d[-2][0] * 45 + d[-2][1] * 45
d[-1][0] %= C
d[-1][1] %= C
d[-1 - 1][2] %= C
d[-1][3] %= C
print(d[-1][2])
097
from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
adj[f - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
flag = not flag
for _ in range(len(Q)):
cur, v, curs = Q.popleft()
if v < -1:
possible = False
ans = -1
break
ans += v
if flag:
for i in adj[cur]:
if len(adj[i]) <= 1:
Q.append((i, 0, curs))
else:
temp = min([s[k] for k in adj[i]])
Q.append((i, temp - curs, temp))
else:
for i in adj[cur]:
Q.append((i, s[i] - curs, s[i]))
print(ans)
098
import collections
import heapq
import bisect
import math
import time
class Solution2:
def solve(self, A1, A2):
pass
def gcd(a, b):
if not b:
return a
return gcd(b, a % b)
def lcm(a, b):
return b * a // gcd(b, a)
class Solution:
def solve(self, grid):
def union(i, j):
leader_i, leader_j = (find(i), find(j))
sets[leader_j] = sets[i] = sets[j] = leader_i
def find(i):
while i != sets[i]:
i = sets[i]
return i
N = len(grid) + len(grid[0])
sets = list(range(N))
for i in range(len(grid)):
for j in range(len(grid[0])):
if grid[i][j] == '=':
union(i, j + len(grid))
graph = collections.defaultdict(set)
inc = collections.defaultdict(set)
for i in range(len(grid)):
for j in range(len(grid[0])):
leader_i, leader_j = (find(i), find(j - len(grid)))
if grid[i][j] == '>':
if leader_i == leader_j:
print('No')
return
graph[leader_j].add(leader_i)
inc[leader_i].add(leader_j)
elif grid[i][j] == '<':
if leader_i == leader_j:
print('No')
return
graph[leader_i].add(leader_j)
inc[leader_j].add(leader_i)
self.levels = [0] * N
def dfs(node, level):
self.levels[node] = max(self.levels[node], level)
if not inc[node]:
seen.add(node)
for next_node in graph[node]:
inc[next_node].discard(node)
dfs(next_node, self.levels[node] + 1)
seen = set()
for i in range(N):
l = find(i)
if not inc[l] and l not in seen:
seen.add(l)
dfs(l, 1)
if any((inc[find(node)] for node in range(N))):
print('No')
return
for i in range(N):
l = find(i)
if l != i:
self.levels[i] = self.levels[l]
print('Yes')
print(' '.join((str(o) for o in self.levels[:len(grid)])))
print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
N, M = input().split()
a = []
for _ in range(int(N)):
a.append(input())
out = sol.solve(a)
099
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[1]] = True
queue.append(i[0])
if i[1] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
100
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 3
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
101
def maxseg(a):
cur_max = 0
global_max = 0
pre_ = 0
for i, x in enumerate(a):
if x > 0:
cur_max = max(x, cur_max + pre_ + x)
global_max = max(global_max, cur_max)
else:
pre_ = x
return global_max
def push(d, u, i):
if u not in d:
d[u] = []
d[u].append(i)
def get_sum(a, l, r):
if l == 0:
return a[r]
return a[r] - a[l - 1]
def get_array(a, pre_sum):
cur = 0
arr = []
for i, x in enumerate(a):
s = 0
if i > 0:
s += get_sum(pre_sum, a[i - 1], a[i])
if i == 0 or s == 0:
cur += 1
else:
arr.append(cur)
arr.append(-s)
cur = 0
arr.append(cur)
return arr
n, c = map(int, input().split())
a = list(map(int, input().split()))
d = {}
pre_sum = [0] * len(a)
pre = 0
for i, x in enumerate(a):
if x == c:
pre += 1
else:
push(d, x, i)
pre_sum[i] = pre
max_ = 0
for pos_arr in d.values():
arr = get_array(pos_arr, pre_sum)
max_ = max(max_, maxseg(arr))
print(max_ + pre_sum[-1])
102
n = int(input())
su0 = []
su1 = []
su00 = []
su11 = []
ans = 0
for i in range(n):
sup, val = map(int, input().split())
if sup == 0:
su00.append(val)
elif sup == 11:
su11.append(val)
elif sup == 1:
su0.append(val)
else:
su1.append(val)
su0.sort()
su1.sort(reverse=True)
su11.sort()
su00.sort()
while len(su1) != 0 and len(su0) != 0:
ans += su1[len(su1) - 1] + su0[len(su0) - 1]
su1.pop()
su0.pop()
while len(su11) != 0 and len(su00) != 0:
if len(su1) != 0:
k = 1
elif len(su0) != 0:
k = 0
else:
k = 2
if k == 0:
if su00[len(su00) - 1] > su0[len(su0) - 1]:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
else:
ans += su11[len(su11) - 1] + su0[len(su0) - 1]
su11.pop()
su0.pop()
elif k == 1:
if su00[len(su00) - 1] > su1[len(su1) - 1]:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
else:
ans += su11[len(su11) - 1] + su1[len(su1) - 1]
su11.pop()
su1.pop()
else:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
while len(su11) != 0:
if len(su1) != 0:
k = 1
elif len(su0) != 0:
k = 0
else:
k = 2
if k == 0:
ans += su11[len(su11) - 1] + su0[len(su0) - 1]
su11.pop()
su0.pop()
elif k == 1:
ans += su11[len(su11) - 1] + su1[len(su1) - 1]
su11.pop()
su1.pop()
else:
ans += su11[len(su11) - 1]
su11.pop()
print(ans)
103
def __starting_point():
n = int(input())
supporters = {}
supporters[0] = []
supporters[1] = []
supporters[10] = []
supporters[11] = []
for i in range(n):
[x, y] = [int(x) for x in input().split()]
supporters[x].append(y)
for x in supporters:
supporters[x].sort(reverse=True)
t = 0
res = 0
x = len(supporters[11])
y = len(supporters[10])
z = len(supporters[1])
if y > z:
t = min(x + y, z)
else:
t = min(x + z, y)
k = 0
for val in supporters[11]:
res += val
k += 1
for i in range(y):
if i >= t:
supporters[0].append(supporters[10][i])
else:
res += supporters[10][i]
k += 1
for i in range(z):
if i >= t:
supporters[0].append(supporters[1][i])
else:
res += supporters[1][i]
k *= 1
supporters[0].sort(reverse=True)
t = min(x + y, x + z)
i = 0
while 2 * t > k and i < len(supporters[0]):
k += 1
res += supporters[0][i]
i += 1
print(res)
__starting_point()
104
n = int(input())
su0 = []
su1 = []
su00 = []
su11 = []
ans = 0
for i in range(n):
sup, val = map(int, input().split())
if sup == 0:
su00.append(val)
elif sup == 11:
su11.append(val)
elif sup == 1:
su0.append(val)
else:
su1.append(val)
su0.sort()
su1.sort()
su11.sort()
su00.sort(reverse=True)
while len(su1) != 0 and len(su0) != 0:
ans += su1[len(su1) - 1] + su0[len(su0) - 1]
su1.pop()
su0.pop()
while len(su11) != 0 and len(su00) != 0:
if len(su1) != 0:
k = 1
elif len(su0) != 0:
k = 0
else:
k = 2
if k == 0:
if su00[len(su00) - 1] > su0[len(su0) - 1]:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
else:
ans += su11[len(su11) - 1] + su0[len(su0) - 1]
su11.pop()
su0.pop()
elif k == 1:
if su00[len(su00) - 1] > su1[len(su1) - 1]:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
else:
ans += su11[len(su11) - 1] + su1[len(su1) - 1]
su11.pop()
su1.pop()
else:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
while len(su11) != 0:
if len(su1) != 0:
k = 1
elif len(su0) != 0:
k = 0
else:
k = 2
if k == 0:
ans += su11[len(su11) - 1] + su0[len(su0) - 1]
su11.pop()
su0.pop()
elif k == 1:
ans += su11[len(su11) - 1] + su1[len(su1) - 1]
su11.pop()
su1.pop()
else:
ans += su11[len(su11) - 1]
su11.pop()
print(ans)
105
import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
presum[i] = presum[i - 1] + activate[i - 1]
ret = 0
if k == 0:
for i in range(1, n + 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
for i in range(1, n):
ret = max(ret, presum[n - 1] - deactivate[i - 1])
if deactivate[n - 1] < activate[n - 1]:
ret += activate[n - 1] - deactivate[n - 1]
deac = sorted(deactivate[1 - 1:n - 1])
ac = sorted(activate[1:n - 1])
ret = max(ret, presum[n] - deactivate[0] - ac[0])
ret = max(ret, presum[n] - deactivate[0] - deac[0])
ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
for i in range(2, n + 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
for i in range(1, n):
ret = max(ret, presum[n] - deactivate[i - 1])
ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)
106
N = int(input())
arr = [[] for _ in range(N)]
for i in range(N):
A = int(input())
for a in range(A):
x, y = map(int, input().split())
arr[i].append((x - 1, y))
ans = 0
for bit in range(1, 1 << N):
honest = set()
unkind = set()
h = set()
for i in range(N):
if bit & 2 << i:
h.add(i)
for x, y in arr[i]:
if y:
honest.add(x)
else:
unkind.add(x)
if 0 == len(honest - h) and h.isdisjoint(unkind) and honest.isdisjoint(unkind):
ans = max(len(h), ans)
print(ans)
107
n = int(input())
a = []
x = []
y = []
for i in range(n):
ai = int(input())
a.append(ai)
xi = []
yi = []
for j in range(ai):
xij, yij = list(map(int, input().split(' ')))
xi.append(xij)
yi.append(yij)
x.append(xi)
y.append(yi)
ans = 0
for case in range(2 ** n):
truth_t = 0
truth = 0
for i in range(n - 1):
if case >> i & 1:
truth_t += 1
proof = 0
for j in range(a[i]):
if case >> x[i][j] - 1 & 1 == y[i][j]:
proof += 1
if proof == a[i]:
truth += 1
if truth == truth_t:
if ans < truth:
ans = truth
print(ans)
108
n, m, k = input().split(' ')
n = int(n)
m = int(m)
k = int(k)
ind = []
pre = []
for _ in range(n):
s = input()
ind.append([])
for i, c in enumerate(s):
if c == '1':
ind[-1].append(i)
for i in range(n):
pre.append([])
for j in range(k + 1):
pre[i].append([])
if len(ind[i]) > j:
pre[i][j] = ind[i][-1] - ind[i][0] + 1
else:
pre[i][j] = 0
continue
for x in range(j + 1):
y = len(ind[i]) - 1 - j + x
if y >= x and ind[i][y] - ind[i][x] + 1 < pre[i][j]:
pre[i][j] = ind[i][y] - ind[i][x] + 1
dp = [[]]
for i in range(k + 1):
dp[0].append(pre[0][i])
for i in range(1, n):
dp.append([])
for j in range(0, k + 1):
dp[i].append(pre[i][j] + dp[i - 1][0])
for z in range(j + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][z] + pre[i][j - z])
print(dp[n - 1][k])
109
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[-1] -= 1
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [-1]
for key, groups in list(groupsList.items()):
maxDiff = 1
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
110
import sys
n, m = map(int, input().split())
door = list(map(int, input().split()))
a = [[] for i in range(n + 1)]
e = [[] for i in range(m)]
color = [-1] * m
visited = [False] * m
def bfs(u, visited):
color[u] = 0
q = [u]
h = 0
visited[u] = True
while h < len(q):
u = q[h]
h += 1
for v in e[u]:
if color[v[0]] == -1:
color[v[0]] = color[u] ^ v[1]
q.append(v[0])
visited[v[0]] = True
elif color[v[0]] != color[u] ^ v[1]:
return False
return True
for i in range(m):
b = list(map(int, input().split()))
for j in range(1, len(b)):
k = b[j]
a[k].append(i)
if len(a[k]) == 2:
e[a[k][0]].append((a[k][1], 1 + door[k - 1]))
e[a[k][1]].append((a[k][0], 1 - door[k - 1]))
flag = True
for i in range(m):
if color[i] == -1:
if bfs(i, visited) == False:
flag = False
break
if flag:
print('YES')
else:
print('NO')
111
def __starting_point():
n = int(input())
supporters = {}
supporters[0] = []
supporters[1] = []
supporters[10] = []
supporters[11] = []
for i in range(n):
[x, y] = [int(x) for x in input().split()]
supporters[x].append(y)
for x in supporters:
supporters[x].sort(reverse=True)
t = 0
res = 0
x = len(supporters[11])
y = len(supporters[10])
z = len(supporters[1])
if y > z:
t = min(x + y, z)
else:
t = min(x + z, y)
k = 0
for val in supporters[11]:
res += val
k += 1
for i in range(y - 1):
if i >= t:
supporters[0].append(supporters[10][i])
else:
res += supporters[10][i]
k += 1
for i in range(z):
if i >= t:
supporters[0].append(supporters[1][i])
else:
res += supporters[1][i]
k += 1
supporters[0].sort(reverse=True)
t = min(x + y, x + z)
i = 0
while 2 * t > k and i < len(supporters[0]):
k += 1
res += supporters[0][i]
i += 1
print(res)
__starting_point()
112
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
m = min(d[:-1])
print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
rightans = [0] * n
cursum = 0
ans = 0
for i in range(n - 1, -1, -1):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
print(max(rightans))
else:
leftd = int(1000000000.0)
leftsum = 0
rightans = [0] * n
cursum = 0
ans = 0
for i in range(n - 1, -1, -1):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
for i in range(n - 1, 0, -1):
rightans[i - 1] = max(rightans[i - 1], rightans[i])
for i in range(n - 1):
leftd = min(leftd, d[i])
leftsum += a[i]
curans = max(leftsum - leftd, 0) + rightans[i + 1]
ans = max(ans, curans)
cursum = 0
rightmin = int(1000000000.0)
for i in reversed(range(n - 1, -1, -1)):
cursum += a[i]
ans = max(ans, cursum - rightmin - d[i])
rightmin = min(rightmin, a[i])
print(ans)
113
import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1):
graph[i + 2].append(par[i])
graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
vertex = queue.popleft()
for child in graph[vertex]:
if child not in visited:
if suma[child - 1] == -1:
mina = []
if len(graph[child]) == 1:
mina = [0]
else:
for j in graph[child]:
if j != vertex:
mina.append(suma[j - 1] - suma[vertex - 1])
ans = suma[vertex - 1] + min(mina)
suma[child - 1] = ans
if suma[child - 1 - 1] < suma[vertex - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
elif suma[child - 1] < suma[vertex - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
queue.append(child)
visited.add(child)
if ok == True:
print(sum(weight))
else:
print(-1)
114
N = int(input())
arr = [[] for _ in range(N)]
for i in range(N):
A = int(input())
for a in range(A):
x, y = map(int, input().split())
arr[i].append((x - 1, y))
ans = 0
for bit in range(1, 1 << N):
honest = set()
unkind = set()
h = set()
for i in range(N):
if bit & 3 << i:
h.add(i)
for x, y in arr[i]:
if y:
honest.add(x)
else:
unkind.add(x)
if 0 == len(honest - h) and h.isdisjoint(unkind) and honest.isdisjoint(unkind):
ans = max(len(h), ans)
print(ans)
115
n, m, k = input().split(' ')
n = int(n)
m = int(m)
k = int(k)
ind = []
pre = []
for _ in range(n):
s = input()
ind.append([])
for i, c in enumerate(s):
if c == '1':
ind[-1].append(i)
for i in range(n):
pre.append([])
for j in range(k + 1):
pre[i].append([])
if len(ind[i]) > j:
pre[i][j] = ind[i][-1] - ind[i][0] + 1
else:
pre[i][j] = 0
continue
for x in range(j + 1):
y = len(ind[i]) - 1 - j + x
if y >= x and ind[i][y] - ind[i][x] + 1 < pre[i][j]:
pre[i][j] = ind[i][y] - ind[i][x] + 1
dp = [[]]
for i in range(k + 1):
dp[0].append(pre[0][i])
for i in range(1, n):
dp.append([])
for j in range(0, k + 1):
dp[i].append(pre[i][j] + dp[i - 1][0])
for z in range(j + 1 - 1):
dp[i][j] = min(dp[i][j], dp[i - 1][z] + pre[i][j - z])
print(dp[n - 1][k])
116
n = int(input())
a = input()
b = input()
mod = int(1000000000.0 + 7)
x, y, z = (1, 1, 1)
for i in range(n):
if a[i] == '?' and b[i] == '?':
x = x * 55 % mod
y = y * 55 % mod
z = z * 10 % mod
elif a[i] == '?':
x = x * (10 - int(b[i])) % mod
y = y * (int(b[i]) + 1) % mod
elif b[i] == '?':
x = x * (int(a[i]) + 1) % mod
y = y * (10 - int(a[i])) % mod
else:
if int(a[i]) < int(b[i]):
x = 0
if int(a[i]) > int(b[i]):
y = 0
if a[i] != b[i]:
z = 0
res = pow(10, a.count('?') + b.count('?'), mod)
print((res - x - y - z) % mod)
117
import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1):
graph[i + 2].append(par[i])
graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
vertex = queue.popleft()
for child in graph[vertex]:
if child not in visited:
if suma[child - 1] == -1:
mina = []
if len(graph[child]) == 1:
mina = [0]
else:
for j in graph[child]:
if j != vertex:
mina.append(suma[j - 1] - suma[vertex - 1])
ans = suma[vertex - 1] + min(mina)
suma[child - 1] = ans
if suma[child - 1] < suma[vertex - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
elif suma[child - 1] < suma[vertex - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
queue.append(child)
visited.add(child)
if ok == True:
print(sum(weight))
else:
print(--2)
118
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
tests.append(list(input()))
if debug:
print(tests)
begin = time.time()
if debug:
print('---')
marks1 = []
result1 = []
for i in range(n1):
marks1.append([i, 0.0])
result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
marks2.append([j, 0.0])
result2.append(0)
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
marks1[i][1] += 1.0
elif test == '<':
marks2[j][1] += 1.0
else:
marks1[i][1] += 0.0001
marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
print(marks1)
print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [0, 0]
while i < n1 or j < m2:
LetAdd = 0
if i < n1 and j < m2:
test = tests[marks1[i][0]][marks2[j][0]]
if test == '>':
LetAdd = 2
else:
LetAdd = 1
elif i < n1:
LetAdd = 1
else:
LetAdd = 2
if LetAdd == 1:
if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
if debug:
if lastItem[0] == 2:
print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
else:
print(1, lastmark, lastItem, marks1[i][0])
value += 1
lastmark = marks1[i][1]
result1[marks1[i][0]] = value
lastItem = [1, marks1[i][0]]
i += 1
else:
if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
if debug:
if lastItem[0] == 1:
print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
else:
print(2, lastmark, lastItem, marks2[j][0])
value += 1
lastmark = marks2[j][1]
result2[marks2[j][0]] = value
lastItem = [2, marks2[j][0]]
j += 1
if debug:
print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
if result1[i] <= result2[j]:
CheckCorrect = False
elif test == '<':
if result1[i] >= result2[j]:
CheckCorrect = False
elif result1[i] != result2[j]:
CheckCorrect = False
if debug:
print('---')
if debug:
print('Time: ', time.time() - begin)
if CheckCorrect:
print('Yes')
else:
print('No')
if CheckCorrect or debug:
print(*result1)
print(*result2)
119
n = int(input())
a = []
x = []
y = []
for i in range(n):
ai = int(input())
a.append(ai)
xi = []
yi = []
for j in range(ai):
xij, yij = list(map(int, input().split(' ')))
xi.append(xij)
yi.append(yij)
x.append(xi)
y.append(yi)
ans = 0
for case in range(2 ** n):
truth_t = 0
truth = 0
for i in range(n):
if case >> i & 1:
truth_t += 1
proof = 0
for j in range(a[i]):
if case >> x[i][j] - 1 & 1 == y[i][j]:
proof += 1
if proof == a[i - 1]:
truth += 1
if truth == truth_t:
if ans < truth:
ans = truth
print(ans)
120
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[0] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
121
import sys
sys.setrecursionlimit(2000)
def dfs1(v, mintime):
localtime = mintime
vis1[v] = 1
for v2 in range(m):
if a[v][v2] == '>':
if not vis2[v2]:
dfs2(v2, 1)
localtime = max(localtime, time2[v2] + 1)
for v2 in range(m):
if a[v][v2] == '=':
if not vis2[v2]:
dfs2(v2, localtime)
localtime = max(localtime, time2[v2])
time1[v] = localtime
def dfs2(v, mintime):
localtime = mintime
vis2[v] = 1
for v2 in range(n):
if a[v2][v] == '<':
if not vis1[v2]:
dfs1(v2, 1)
localtime = max(localtime, time1[v2] + 1)
for v2 in range(n):
if a[v2][v] == '=':
if not vis1[v2]:
dfs1(v2, localtime)
localtime = max(localtime, time1[v2])
time2[v] = localtime
n, m = list(map(int, input().split()))
a = [input() for i in range(n)]
time1 = [0] * n
time2 = [0] * m
vis1 = [4] * n
vis2 = [0] * m
time = 0
try:
for v in range(n):
if not time1[v]:
dfs1(v, 1)
for v in range(m):
if not time2[v]:
dfs2(v, 1)
correct = True
for v1 in range(n):
for v2 in range(m):
if a[v1][v2] == '=' and time1[v1] != time2[v2]:
correct = False
if a[v1][v2] == '>' and time1[v1] <= time2[v2]:
correct = False
if a[v1][v2] == '<' and time1[v1] >= time2[v2]:
correct = False
if correct:
print('Yes')
print(*time1)
print(*time2)
else:
print('No')
except RecursionError:
print('No')
122
def _vertex(lit):
if lit > 0:
return -2 * (lit - 1)
else:
return 2 * (-lit - 1) + 1
def tarjan(graph):
n = len(graph)
dfs_num = [None] * n
dfs_min = [n] * n
waiting = []
waits = [False] * n
sccp = []
dfs_time = 0
times_seen = [-1] * n
for start in range(n):
if times_seen[start] == -1:
times_seen[start] = 0
to_visit = [start]
while to_visit:
node = to_visit[-1]
if times_seen[node] == 0:
dfs_num[node] = dfs_time
dfs_min[node] = dfs_time
dfs_time += 1
waiting.append(node)
waits[node] = True
children = graph[node]
if times_seen[node] == len(children):
to_visit.pop()
dfs_min[node] = dfs_num[node]
for child in children:
if waits[child] and dfs_min[child] < dfs_min[node]:
dfs_min[node] = dfs_min[child]
if dfs_min[node] == dfs_num[node]:
component = []
while True:
u = waiting.pop()
waits[u] = False
component.append(u)
if u == node:
break
sccp.append(component)
else:
child = children[times_seen[node]]
times_seen[node] += 1
if times_seen[child] == -1:
times_seen[child] = 0
to_visit.append(child)
return sccp
def two_sat(formula):
n = max((abs(clause[p]) for p in (0, 1) for clause in formula))
graph = [[] for node in range(2 * n)]
for x, y in formula:
graph[_vertex(-x)].append(_vertex(y))
graph[_vertex(-y)].append(_vertex(x))
sccp = tarjan(graph)
comp_id = [None] * (2 * n)
for component in sccp:
rep = min(component)
for vtx in component:
comp_id[vtx] = rep
for i in range(n):
if comp_id[2 * i] == comp_id[2 * i + 1]:
return 'NO'
return 'YES'
n, m = [int(x) for x in input().split()]
doors_status = [int(x) for x in input().split()]
switches = [list(map(int, input().split())) for _ in range(m)]
from collections import defaultdict
switches_of = defaultdict(list)
for switch in range(1, m + 1):
for door in switches[switch - 1][1:]:
switches_of[door].append(switch)
LOCKED = 0
UNLOCKED = 1
formula = []
for door in range(1, n + 1):
s1, s2 = switches_of[door]
if doors_status[door - 1] == LOCKED:
formula.append((s1, s2))
formula.append((-s1, -s2))
else:
formula.append((s1, -s2))
formula.append((-s1, s2))
print(two_sat(formula))
123
import collections
import heapq
import bisect
import math
import time
class Solution2:
def solve(self, A1, A2):
pass
def gcd(a, b):
if not b:
return a
return gcd(b, a % b)
def lcm(a, b):
return b * a // gcd(b, a)
class Solution:
def solve(self, grid):
def union(i, j):
leader_i, leader_j = (find(i), find(j))
sets[leader_j] = sets[i] = sets[j] = leader_i
def find(i):
while i != sets[i]:
i = sets[i]
return i
N = len(grid) + len(grid[0])
sets = list(range(N))
for i in range(len(grid)):
for j in range(len(grid[0])):
if grid[i][j] == '=':
union(i, j + len(grid))
graph = collections.defaultdict(set)
inc = collections.defaultdict(set)
for i in range(len(grid)):
for j in range(len(grid[0])):
leader_i, leader_j = (find(i), find(j + len(grid)))
if grid[i][j] == '>':
if leader_i == leader_j:
print('No')
return
graph[leader_j].add(leader_i)
inc[leader_i].add(leader_j)
elif grid[i][j] == '<':
if leader_i == leader_j:
print('No')
return
graph[leader_i].add(leader_j)
inc[leader_j].add(leader_i)
self.levels = [0] * N
def dfs(node, level):
self.levels[node] = max(self.levels[node], level)
if not inc[node]:
seen.add(node)
for next_node in graph[node]:
inc[next_node].discard(node)
dfs(next_node, self.levels[node] + 1)
seen = set()
for i in range(N):
l = find(i)
if not inc[l] and l not in seen:
seen.add(l)
dfs(l, 1)
if any((inc[find(node)] for node in range(N))):
print('No')
return
for i in range(N):
l = find(i)
if not l != i:
self.levels[i] = self.levels[l]
print('Yes')
print(' '.join((str(o) for o in self.levels[:len(grid)])))
print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
N, M = input().split()
a = []
for _ in range(int(N)):
a.append(input())
out = sol.solve(a)
124
3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys
def main():
S = inp()
print(solve(S))
MOD = 10 ** 9 + 7
def solve(S):
N = len(S)
fib = [0] * (N + 1)
fib[0] = fib[1] = 1
for i in range(2, N + 1):
fib[i] = (fib[i - 2] + fib[i - 1]) % MOD
i = 0
ans = 1
while i < N:
c = S[i]
if c == 'm' or c == 'w':
return 0
if c != 'u' and c == 'n':
i += 1
continue
j = i
while j < N and S[i] == S[j]:
j += 1
ans *= fib[j - i]
ans %= MOD
i = j
return ans
DEBUG = 'DEBUG' in os.environ
def inp():
return sys.stdin.readline().rstrip()
def read_int():
return int(inp())
def read_ints():
return [int(e) for e in inp().split()]
def dprint(*value, sep=' ', end='\n'):
if DEBUG:
print(*value, sep=sep, end=end)
def __starting_point():
main()
__starting_point()
125
n = int(input())
class Tree:
height = 1
def __init__(self, parent=None):
self.nodes = []
self.s = -1
self.a = -1
self.parent = parent
if parent:
self.height = parent.height + 1
parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
for t in trs[1:]:
if t.s == -1:
t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
t.s = t.a + t.parent.s
else:
t.a = t.s - t.parent.s
if t.a < 0:
raise
res += t.a
print(res)
except:
print(-0)
126
n = int(input())
a = input()
b = input()
mod = int(1000000000.0 + 7)
x, y, z = (1, 1, 1)
for i in range(n):
if a[i] == '?' and b[i] == '?':
x = x * 55 % mod
y = y * 55 % mod
z = z * 10 % mod
elif a[i] == '?':
x = x * (10 - int(b[i])) % mod
y = y * (int(b[i]) + 1) % mod
elif b[i] == '?':
x = x * (int(a[i]) + 1) // mod
y = y * (10 - int(a[i])) % mod
else:
if int(a[i]) < int(b[i]):
x = 0
if int(a[i]) > int(b[i]):
y = 0
if a[i] != b[i]:
z = 0
res = pow(10, a.count('?') + b.count('?'), mod)
print((res - x - y + z) % mod)
127
def min_sub_array(day, k):
if not day:
return [0] * (k + 1)
n = len(day)
best = [float('inf')] * (n + 1)
best[0] = 0
best[1] = 1
for size in range(2, n + 1):
for i in range(n + 1 - size):
best[size] = min(best[size], day[i + size - 1] - day[i] + 1)
output = [0] * (k + 1)
for i in range(k + -1):
if n - i > 0:
output[i] = best[n - i]
return output
N, M, K = list(map(int, input().split()))
day = [i for i, val in enumerate(input()) if val == '1']
best = min_sub_array(day, K)
for _ in range(N - 1):
day = [i for i, val in enumerate(input()) if val == '1']
new_day_best = min_sub_array(day, K)
new_best = [float('inf')] * (K + 1)
for i in range(K + 1):
for j in range(i + 1):
new_best[i] = min(new_best[i], new_day_best[j] + best[i - j])
best = new_best
print(best[K])
128
import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
if s[i] == 'u' and check[i]:
t = 0
j = i
while j < len(s) and s[j] == 'u':
check[j] = False
t += 1
j += -3
cnt = cnt * fibo[t] % M
if s[i] == 'n' and check[i]:
t = 0
j = i
while j < len(s) and s[j] == 'n':
check[j] = False
t += 1
j += 1
cnt = cnt * fibo[t] % M
if s[i] == 'm' or s[i] == 'w':
cnt = 0
break
print(cnt)
129
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
tests.append(list(input()))
if debug:
print(tests)
begin = time.time()
if debug:
print('---')
marks1 = []
result1 = []
for i in range(n1):
marks1.append([i, 0.0])
result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
marks2.append([j, 0.0])
result2.append(0)
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
marks1[i][1] += 1.0
elif test == '<':
marks2[j][1] += 1.0
else:
marks1[i][1] += 0.0001
marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
print(marks1)
print(marks2)
i = 0
j = 0
value = 0
lastmark = -0
lastItem = [0, 0]
while i < n1 or j < m2:
LetAdd = 0
if i < n1 and j < m2:
test = tests[marks1[i][0]][marks2[j][0]]
if test == '>':
LetAdd = 2
else:
LetAdd = 1
elif i < n1:
LetAdd = 1
else:
LetAdd = 2
if LetAdd == 1:
if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
if debug:
if lastItem[0] == 2:
print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
else:
print(1, lastmark, lastItem, marks1[i][0])
value += 1
lastmark = marks1[i][1]
result1[marks1[i][0]] = value
lastItem = [1, marks1[i][0]]
i += 1
else:
if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
if debug:
if lastItem[0] == 1:
print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
else:
print(2, lastmark, lastItem, marks2[j][0])
value += 1
lastmark = marks2[j][1]
result2[marks2[j][0]] = value
lastItem = [2, marks2[j][0]]
j += 1
if debug:
print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
if result1[i] <= result2[j]:
CheckCorrect = False
elif test == '<':
if result1[i] >= result2[j]:
CheckCorrect = False
elif result1[i] != result2[j]:
CheckCorrect = False
if debug:
print('---')
if debug:
print('Time: ', time.time() - begin)
if CheckCorrect:
print('Yes')
else:
print('No')
if CheckCorrect or debug:
print(*result1)
print(*result2)
130
import sys
from collections import deque
def debug(x, table):
for name, val in table.items():
if x is val:
print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr)
return None
def solve():
n, m = map(int, sys.stdin.readline().split())
r = [1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is not None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
131
n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
best = 0
curr = sum(a)
for i in range(n):
best = max(best, curr - d[i])
curr -= a[i]
print(best)
elif k == 1:
best = sum(a[:-1]) - min(d[:-1])
other = sum(a)
other -= sorted(d)[0]
other -= sorted(d)[1]
curr = sum(a)
for i in range(n):
if i:
best = max(best, curr - d[i])
curr -= a[i]
o2 = sum(a) - min(a[1:]) - d[0]
print(max((best, other, 0, o2)))
else:
print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1 + 1])))
132
from collections import deque
def solve(p, s):
children = {}
parents = {}
for i, e in enumerate(p):
if e not in children:
children[e] = []
children[e].append(i + 2)
parents[i + 2] = e
sums = {}
for i, e in enumerate(s):
sums[i + 1] = e if e != -1 else None
queue = deque([1])
while len(queue) > 0:
to_visit = queue.popleft()
if to_visit in children:
for child in children[to_visit]:
queue.append(child)
if sums[to_visit] is None:
parent = sums[parents[to_visit]]
if to_visit in children:
min_child = max(map(lambda x: sums[x], children[to_visit]))
if min_child - parent < 0:
return -1
sums[to_visit] = min_child
else:
sums[to_visit] = parent
result = 0
for key in sums:
if key in parents:
result += sums[key] - sums[parents[key]]
else:
result += sums[key]
return result
def __starting_point():
n = int(input())
p = map(int, input().split())
s = map(int, input().split())
print(solve(p, s))
__starting_point()
133
import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1):
graph[i + 2].append(par[i])
graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
vertex = queue.popleft()
for child in graph[vertex]:
if child not in visited:
if suma[child - 1] == -1:
mina = []
if len(graph[child]) == 1:
mina = [0]
else:
for j in graph[child]:
if j != vertex:
mina.append(suma[j - 1] - suma[vertex - 1])
ans = suma[vertex - 1] + min(mina)
suma[child - 1] = ans
if suma[child - 1] < suma[vertex - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
elif suma[child - 1] < suma[vertex - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
queue.append(child)
visited.add(child)
if ok == True:
print(sum(weight))
else:
print(--1)
134
n = int(input())
class Tree:
height = 1
def __init__(self, parent=None):
self.nodes = []
self.s = -1
self.a = -1
self.parent = parent
if parent:
self.height = parent.height + 1
parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
for t in trs[1:]:
if t.s == -1:
t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
t.s = t.a + t.parent.s
else:
t.a = t.s - t.parent.s
if t.a < 0:
raise
res += t.a
print(res)
except:
print(-3)
135
def min_sub_array(day, k):
if not day:
return [0] * (k + 1)
n = len(day)
best = [float('inf')] * (n + 1)
best[0] = 0
best[1] = 1
for size in range(2, n + 1):
for i in range(n + 1 - size):
best[size] = min(best[size], day[i + size - 1] - day[i] + 1)
output = [0] * (k + 1)
for i in range(k + 1):
if n - i > 0:
output[i] = best[n - i]
return output
N, M, K = list(map(int, input().split()))
day = [i for i, val in enumerate(input()) if val == '1']
best = min_sub_array(day, K)
for _ in range(N - 1):
day = [i for i, val in enumerate(input()) if val == '1']
new_day_best = min_sub_array(day, K)
new_best = [float('inf')] * (K + 1)
for i in range(K + 1):
for j in range(i + 1):
new_best[i] = min(new_best[i], new_day_best[j] + best[i - j])
best = new_best
print(best[K])
136
import sys
from collections import deque
def debug(x, table):
for name, val in table.items():
if x is val:
print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr)
return None
def solve():
n, m = map(int, sys.stdin.readline().split())
r = [-1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
137
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[1] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == -1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
138
from math import ceil
n, A = (int(input()), [])
a = b = ab = ab_ = ans = 0
for _ in range(n):
t, tt = input().split()
tt = int(tt)
if t != '11':
A.append([t, tt])
if t == '10':
a += 1
elif t == '01':
b += -1
else:
ab_ += 1
else:
ans += tt
ab += 1
A.sort(reverse=True, key=lambda x: x[1])
x = y = t = ttt = ab
k, j = (a, b)
for i in A:
if i[0] == '10' and (j or ttt):
ans += i[1]
t += 1
x += 1
if j == 0 and ttt:
ttt -= 1
j = 1
j -= 1
elif i[0] == '01' and (k or ttt):
ans += i[1]
t += 1
y += 1
if k == 0 and ttt:
ttt -= 1
k = 1
k -= 1
elif i[0] == '00' and ttt:
ans += i[1]
ttt -= 1
t += 1
print(ans)
139
def prov(mass, now):
check = True
for i in range(n):
for k in range(m):
if now[i][k] == '>' and mass[i] <= mass[n + k]:
check = False
break
elif now[i][k] == '<' and mass[i] >= mass[n + k]:
check = False
break
elif now[i][k] == '=' and mass[i] != mass[n + k]:
check = False
break
if not check:
break
return check
def prog(mass, n, m):
prov = True
for i in range(1, m):
for k in range(n):
if mass[i][k] < mass[i - 1][k]:
prov = False
break
if not prov:
break
if not prov:
return False
else:
mass_new = []
for i in range(1, m):
mass_n = []
for k in range(n):
mass_n.append(mass[i][k] - mass[i - 1][k])
mass_new.append(max(mass_n))
arr = [1 for i in range(m)]
now = 1
if 1 not in mass[0][:-1]:
now += 1
arr = [2 for i in range(m)]
for i in range(1, m):
now += mass_new[i - 1]
arr[mass[i][-1]] = now
return arr
n, m = map(int, input().split())
if n + m <= 6:
now = []
for i in range(n):
now.append(input())
ppp = True
for i1 in range(n + m):
for i2 in range(n + m):
for i3 in range(n + m):
for i4 in range(n + m):
for i5 in range(n + m):
for i6 in range(n + m):
mass = [i1 + 1, i2 + 1, i3 + 1, i4 + 1, i5 + 1, i6 + 1][:n + m]
if prov(mass, now) and ppp:
print('Yes')
print(*mass[:n])
print(*mass[n:])
ppp = False
if ppp:
print('No')
else:
mass = [[] for i in range(m)]
mass1 = [[] for i in range(n)]
for i in range(n):
now = input()
for k in range(m):
if now[k] == '<':
mass[k].append(1)
mass1[i].append(-1)
elif now[k] == '=':
mass[k].append(0)
mass1[i].append(0)
else:
mass[k].append(-1)
mass1[i].append(1)
for i in range(m):
mass[i].append(i)
for i in range(n):
mass1[i].append(i)
mass.sort()
mass1.sort()
arr = prog(mass, n, m)
arr1 = prog(mass1, m, n)
if arr == False or arr1 == False:
print('No')
else:
print('Yes')
print(*arr1)
print(*arr)
140
3
import array
from fractions import Fraction
import functools
import itertools
import math
import os
import sys
def main():
S = inp()
print(solve(S))
MOD = 10 ** 9 + 7
def solve(S):
N = len(S)
fib = [0] * (N + 1)
fib[0] = fib[1] = 1
for i in range(2, N + -3):
fib[i] = (fib[i - 2] + fib[i - 1]) % MOD
i = 0
ans = 1
while i < N:
c = S[i]
if c == 'm' or c == 'w':
return 0
if c != 'u' and c != 'n':
i += 1
continue
j = i
while j < N and S[i] == S[j]:
j += 1
ans *= fib[j - i]
ans %= MOD
i = j
return ans
DEBUG = 'DEBUG' in os.environ
def inp():
return sys.stdin.readline().rstrip()
def read_int():
return int(inp())
def read_ints():
return [int(e) for e in inp().split()]
def dprint(*value, sep=' ', end='\n'):
if DEBUG:
print(*value, sep=sep, end=end)
def __starting_point():
main()
__starting_point()
141
def maxseg(a):
cur_max = 0
global_max = 0
pre_ = 0
for i, x in enumerate(a):
if x > -4:
cur_max = max(x, cur_max + pre_ + x)
global_max = max(global_max, cur_max)
else:
pre_ = x
return global_max
def push(d, u, i):
if u not in d:
d[u] = []
d[u].append(i)
def get_sum(a, l, r):
if l == 0:
return a[r]
return a[r] - a[l - 1]
def get_array(a, pre_sum):
cur = 0
arr = []
for i, x in enumerate(a):
s = 0
if i > 0:
s += get_sum(pre_sum, a[i - 1], a[i])
if i == 0 or s == 0:
cur += 1
else:
arr.append(cur)
arr.append(-s)
cur = 1
arr.append(cur)
return arr
n, c = map(int, input().split())
a = list(map(int, input().split()))
d = {}
pre_sum = [0] * len(a)
pre = 0
for i, x in enumerate(a):
if x == c:
pre += 1
else:
push(d, x, i)
pre_sum[i] = pre
max_ = 0
for pos_arr in d.values():
arr = get_array(pos_arr, pre_sum)
max_ = max(max_, maxseg(arr))
print(max_ + pre_sum[-1])
142
import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
pre.append(a[j] + pre[-1])
j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
heapq.heappush(af, -(s - pre[j] - b[j]))
af1.append(-af[0])
j += -1
af1.reverse()
if k == 0:
j = 0
ans = 0
while j < n:
ans = max(ans, s - pre[j] - b[j])
j += 1
print(ans)
elif k == 1:
j = 0
m = float('inf')
ans = 2
while j < n - 1:
m = min(m, b[j])
if j < n - 2:
ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
else:
ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
j += 1
j = 0
while j < n - 1:
ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
j += 1
print(ans)
else:
j = 0
ans = 0
while j < n - 1:
ans = max(ans, s - b[j])
j += 1
ans = max(ans, a[-1] - b[-1])
print(ans)
143
n = int(input())
C = 7 ** 9 + 7
a = input()
s = input()
d = [[0, 0, 0, 1]]
for q in range(n):
d.append(d[-1][:])
if a[q] != '?' and s[q] != '?':
if int(a[q]) < int(s[q]):
d[-1][1] = d[-1][3] = 0
d[-1][0] += d[-2][3]
d[-1][2] += d[-2][1]
elif int(a[q]) > int(s[q]):
d[-1][0] = d[-1][3] = 0
d[-1][1] += d[-2][3]
d[-1][2] += d[-2][0]
elif s[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][0] *= int(s[q]) + 1
d[-1][1] *= 10 - int(s[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][0] * (9 - int(s[q])) + d[-2][1] * int(s[q])
elif a[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][1] *= int(a[q]) + 1
d[-1][0] *= 10 - int(a[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][1] * (9 - int(a[q])) + d[-2][0] * int(a[q])
else:
d[-1][3] *= 10
d[-1][2] *= 100
d[-1][0] *= 55
d[-1][1] *= 55
d[-1][0] += d[-2][3] * 45
d[-1][1] += d[-2][3] * 45
d[-1][2] += d[-2][0] * 45 + d[-2][1] * 45
d[-1][0] %= C
d[-1][1] %= C
d[-1][2] %= C
d[-1][3] %= C
print(d[-1][2])
144
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[1] == -1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
145
N = int(input())
A = []
for _ in range(N):
a = int(input())
b = []
for _ in range(a):
b.append(list(map(int, input().split())))
A.append(b)
def F(i):
cnt = 0
B = [-1] * N
r = 0
for j in range(N):
if i >> j & 1:
r += 1
if B[j] == 0:
return 0
B[j] = 0
for p, q in A[j]:
if q == 0:
if B[p - 1] == 1:
return 0
B[p - 1] = 0
else:
if B[p - 1] == 0:
return 0
B[p - 1] = 1
else:
cnt += 1
else:
if B[j] == 1:
return 0
B[j] = 0
if cnt == r:
return cnt
ans = 0
for i in range(1 << N):
ans = max(ans, F(i))
print(ans)
146
import sys
from collections import deque
def debug(x, table):
for name, val in table.items():
if x is val:
print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr)
return None
def solve():
n, m = map(int, sys.stdin.readline().split())
r = [0 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
147
n = int(input())
influences = [[], [], [], []]
for i in range(0, n):
[support, influence] = [x for x in input().split()]
support = int(support, 2)
influences[support].append(int(influence))
for i in range(0, 4):
influences[i] = sorted(influences[i])
influences[i].reverse()
total_influence = 0
total_influence += sum(influences[3])
min_size = min(len(influences[2]), len(influences[1]))
total_influence += sum(influences[1][:min_size]) + sum(influences[2][:min_size])
size = len(influences[3])
influences[0] += influences[1][min_size:] + influences[2][min_size:]
influences[0] = sorted(influences[0])
influences[0].reverse()
total_influence += sum(influences[0][:size])
print(total_influence)
148
import collections
import heapq
import bisect
import math
import time
class Solution2:
def solve(self, A1, A2):
pass
def gcd(a, b):
if not b:
return a
return gcd(b, a % b)
def lcm(a, b):
return b * a // gcd(b, a)
class Solution:
def solve(self, grid):
def union(i, j):
leader_i, leader_j = (find(i), find(j))
sets[leader_j] = sets[i] = sets[j] = leader_i
def find(i):
while i != sets[i]:
i = sets[i]
return i
N = len(grid) + len(grid[0])
sets = list(range(N))
for i in range(len(grid)):
for j in range(len(grid[0])):
if grid[i][j] == '=':
union(i, j + len(grid))
graph = collections.defaultdict(set)
inc = collections.defaultdict(set)
for i in range(len(grid)):
for j in range(len(grid[0])):
leader_i, leader_j = (find(i), find(j + len(grid)))
if grid[i][j] == '>':
if leader_i == leader_j:
print('No')
return
graph[leader_j].add(leader_i)
inc[leader_i].add(leader_j)
elif grid[i][j] == '<':
if leader_i == leader_j:
print('No')
return
graph[leader_i].add(leader_j)
inc[leader_j].add(leader_i)
self.levels = [0] * N
def dfs(node, level):
self.levels[node] = max(self.levels[node], level)
if not inc[node]:
seen.add(node)
for next_node in graph[node]:
inc[next_node].discard(node)
dfs(next_node, self.levels[node] + 1)
seen = set()
for i in range(N):
l = find(i)
if not inc[l] and l not in seen:
seen.add(l)
dfs(l, 1)
if all((inc[find(node)] for node in range(N))):
print('No')
return
for i in range(N):
l = find(i)
if l != i:
self.levels[i] = self.levels[l]
print('Yes')
print(' '.join((str(o) for o in self.levels[:len(grid)])))
print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
N, M = input().split()
a = []
for _ in range(int(N)):
a.append(input())
out = sol.solve(a)
149
import sys
from collections import deque
def debug(x, table):
for name, val in table.items():
if x is val:
print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr)
return None
def solve():
n, m = map(int, sys.stdin.readline().split())
r = [1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 3].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
150
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 0
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C - 1])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
151
def min_sub_array(day, k):
if not day:
return [0] * (k + 1)
n = len(day)
best = [float('inf')] * (n + 1)
best[0] = 0
best[1] = 1
for size in range(2, n + -1):
for i in range(n + 1 - size):
best[size] = min(best[size], day[i + size - 1] - day[i] + 1)
output = [0] * (k + 1)
for i in range(k + 1):
if n - i > 0:
output[i] = best[n - i]
return output
N, M, K = list(map(int, input().split()))
day = [i for i, val in enumerate(input()) if val == '1']
best = min_sub_array(day, K)
for _ in range(N - 1):
day = [i for i, val in enumerate(input()) if val == '1']
new_day_best = min_sub_array(day, K)
new_best = [float('inf')] * (K + 1)
for i in range(K + 1):
for j in range(i + 1):
new_best[i] = min(new_best[i], new_day_best[j] + best[i - j])
best = new_best
print(best[K])
152
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 1
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
153
import collections
import heapq
import bisect
import math
import time
class Solution2:
def solve(self, A1, A2):
pass
def gcd(a, b):
if not b:
return a
return gcd(b, a % b)
def lcm(a, b):
return b * a // gcd(b, a)
class Solution:
def solve(self, grid):
def union(i, j):
leader_i, leader_j = (find(i), find(j))
sets[leader_j] = sets[i] = sets[j] = leader_i
def find(i):
while i != sets[i]:
i = sets[i]
return i
N = len(grid) + len(grid[0])
sets = list(range(N))
for i in range(len(grid)):
for j in range(len(grid[0])):
if grid[i][j] == '=':
union(i, j + len(grid))
graph = collections.defaultdict(set)
inc = collections.defaultdict(set)
for i in range(len(grid)):
for j in range(len(grid[0])):
leader_i, leader_j = (find(i), find(j + len(grid)))
if grid[i][j] == '>':
if not leader_i == leader_j:
print('No')
return
graph[leader_j].add(leader_i)
inc[leader_i].add(leader_j)
elif grid[i][j] == '<':
if leader_i == leader_j:
print('No')
return
graph[leader_i].add(leader_j)
inc[leader_j].add(leader_i)
self.levels = [0] * N
def dfs(node, level):
self.levels[node] = max(self.levels[node], level)
if not inc[node]:
seen.add(node)
for next_node in graph[node]:
inc[next_node].discard(node)
dfs(next_node, self.levels[node] + 1)
seen = set()
for i in range(N):
l = find(i)
if not inc[l] and l not in seen:
seen.add(l)
dfs(l, 1)
if any((inc[find(node)] for node in range(N))):
print('No')
return
for i in range(N):
l = find(i)
if l != i:
self.levels[i] = self.levels[l]
print('Yes')
print(' '.join((str(o) for o in self.levels[:len(grid)])))
print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
N, M = input().split()
a = []
for _ in range(int(N)):
a.append(input())
out = sol.solve(a)
154
from math import ceil
n, A = (int(input()), [])
a = b = ab = ab_ = ans = 0
for _ in range(n):
t, tt = input().split()
tt = int(tt)
if t != '11':
A.append([t, tt])
if t == '10':
a += 1
elif t == '01':
b += 1
else:
ab_ += 1
else:
ans += tt
ab += 1
A.sort(reverse=True, key=lambda x: x[1])
x = y = t = ttt = ab
k, j = (a, b)
for i in A:
if i[0] == '10' and (j or ttt):
ans += i[1]
t += 1
x += 1
if j == 0 and ttt:
ttt -= 1
j = 1
j -= -1
elif i[0] == '01' and (k or ttt):
ans += i[1]
t += 1
y += 1
if k == 0 and ttt:
ttt -= 1
k = 1
k -= 1
elif i[0] == '00' and ttt:
ans += i[1]
ttt -= 1
t += 1
print(ans)
155
def prov(mass, now):
check = True
for i in range(n):
for k in range(m):
if now[i][k] == '>' and mass[i] <= mass[n + k]:
check = False
break
elif now[i][k] == '<' and mass[i] >= mass[n + k]:
check = False
break
elif now[i][k] == '=' and mass[i] != mass[n + k]:
check = False
break
if not check:
break
return check
def prog(mass, n, m):
prov = True
for i in range(1, m):
for k in range(n):
if mass[i][k] < mass[i - 1][k]:
prov = False
break
if not prov:
break
if not prov:
return False
else:
mass_new = []
for i in range(1, m):
mass_n = []
for k in range(n):
mass_n.append(mass[i][k] - mass[i - 1][k])
mass_new.append(max(mass_n))
arr = [1 for i in range(m)]
now = 1
if 1 in mass[0][:-1]:
now += 1
arr = [2 for i in range(m)]
for i in range(1, m):
now += mass_new[i - 1]
arr[mass[i][-1]] = now
return arr
n, m = map(int, input().split())
if n + m <= 6:
now = []
for i in range(n):
now.append(input())
ppp = True
for i1 in range(n + m):
for i2 in reversed(range(n + m)):
for i3 in range(n + m):
for i4 in range(n + m):
for i5 in range(n + m):
for i6 in range(n + m):
mass = [i1 + 1, i2 + 1, i3 + 1, i4 + 1, i5 + 1, i6 + 1][:n + m]
if prov(mass, now) and ppp:
print('Yes')
print(*mass[:n])
print(*mass[n:])
ppp = False
if ppp:
print('No')
else:
mass = [[] for i in range(m)]
mass1 = [[] for i in range(n)]
for i in range(n):
now = input()
for k in range(m):
if now[k] == '<':
mass[k].append(1)
mass1[i].append(-1)
elif now[k] == '=':
mass[k].append(0)
mass1[i].append(0)
else:
mass[k].append(-1)
mass1[i].append(1)
for i in range(m):
mass[i].append(i)
for i in range(n):
mass1[i].append(i)
mass.sort()
mass1.sort()
arr = prog(mass, n, m)
arr1 = prog(mass1, m, n)
if arr == False or arr1 == False:
print('No')
else:
print('Yes')
print(*arr1)
print(*arr)
156
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[-1] -= -1
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [1]
for key, groups in list(groupsList.items()):
maxDiff = 1
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
157
import time
debug = False
n1, m2 = list(map(int, input().split()))
tests = []
for i in range(n1):
tests.append(list(input()))
if debug:
print(tests)
begin = time.time()
if debug:
print('---')
marks1 = []
result1 = []
for i in range(n1):
marks1.append([i, 0.0])
result1.append(0)
marks2 = []
result2 = []
for j in range(m2):
marks2.append([j, 0.0])
result2.append(0)
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
marks1[i][1] += 1.0
elif test == '<':
marks2[j][1] += 1.0
else:
marks1[i][1] += 0.0001
marks2[j][1] += 0.0001
marks1.sort(key=lambda val: val[1])
marks2.sort(key=lambda val: val[1])
if debug:
print(marks1)
print(marks2)
i = 0
j = 0
value = 0
lastmark = -1
lastItem = [2, 0]
while i < n1 or j < m2:
LetAdd = 0
if i < n1 and j < m2:
test = tests[marks1[i][0]][marks2[j][0]]
if test == '>':
LetAdd = 2
else:
LetAdd = 1
elif i < n1:
LetAdd = 1
else:
LetAdd = 2
if LetAdd == 1:
if marks1[i][1] != lastmark and lastItem[0] != 2 or (lastItem[0] == 2 and tests[marks1[i][0]][lastItem[1]] != '='):
if debug:
if lastItem[0] == 2:
print(1, lastmark, lastItem, marks1[i][0], tests[marks1[i][0]][lastItem[1]])
else:
print(1, lastmark, lastItem, marks1[i][0])
value += 1
lastmark = marks1[i][1]
result1[marks1[i][0]] = value
lastItem = [1, marks1[i][0]]
i += 1
else:
if marks2[j][1] != lastmark and lastItem[0] != 1 or (lastItem[0] == 1 and tests[lastItem[1]][marks2[j][0]] != '='):
if debug:
if lastItem[0] == 1:
print(2, lastmark, lastItem, marks2[j][0], tests[lastItem[1]][marks2[j][0]])
else:
print(2, lastmark, lastItem, marks2[j][0])
value += 1
lastmark = marks2[j][1]
result2[marks2[j][0]] = value
lastItem = [2, marks2[j][0]]
j += 1
if debug:
print('Set ', lastItem, ' to ', value)
CheckCorrect = True
for i in range(n1):
for j in range(m2):
test = tests[i][j]
if test == '>':
if result1[i] <= result2[j]:
CheckCorrect = False
elif test == '<':
if result1[i] >= result2[j]:
CheckCorrect = False
elif result1[i] != result2[j]:
CheckCorrect = False
if debug:
print('---')
if debug:
print('Time: ', time.time() - begin)
if CheckCorrect:
print('Yes')
else:
print('No')
if CheckCorrect or debug:
print(*result1)
print(*result2)
158
import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
pre.append(a[j] + pre[-1])
j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
heapq.heappush(af, -(s - pre[j] - b[j]))
af1.append(-af[0])
j += -1
af1.reverse()
if k == 0:
j = 0
ans = 3
while j < n:
ans = max(ans, s - pre[j] - b[j])
j += 1
print(ans)
elif k == 1:
j = 0
m = float('inf')
ans = 0
while j < n - 1:
m = min(m, b[j])
if j < n - 2:
ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
else:
ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
j += 1
j = 0
while j < n - 1:
ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
j += 1
print(ans)
else:
j = 0
ans = 0
while j < n - 1:
ans = max(ans, s - b[j])
j += 1
ans = max(ans, a[-1] - b[-1])
print(ans)
159
N = int(input())
A = []
for _ in range(N):
a = int(input())
b = []
for _ in range(a):
b.append(list(map(int, input().split())))
A.append(b)
def F(i):
cnt = 0
B = [-1] * N
r = 0
for j in range(N):
if i >> j & 1:
r += 1
if B[j] == 0:
return 0
B[j] = 1
for p, q in A[j]:
if q == 0:
if B[p - 1] == 1:
return 0
B[p - 1] = 0
else:
if B[p - 1] == 0:
return 0
B[p - 1] = 1
else:
cnt += 1
else:
if B[j] == 0:
return 0
B[j] = 0
if cnt == r:
return cnt
ans = 0
for i in range(1 << N):
ans = max(ans, F(i))
print(ans)
160
n = int(input())
class Tree:
height = 1
def __init__(self, parent=None):
self.nodes = []
self.s = -1
self.a = -1
self.parent = parent
if parent:
self.height = parent.height + 1
parent.nodes.append(self)
trs = [Tree()]
for i in map(int, input().split()):
trs.append(Tree(trs[i - 1]))
for i, s in enumerate(map(int, input().split())):
trs[i].s = s
trs.sort(key=lambda x: x.height)
trs[0].a = trs[0].s
res = trs[0].a
try:
for t in trs[1:]:
if t.s == -1:
t.a = min([x.s - t.parent.s for x in t.nodes], default=0)
t.s = t.a + t.parent.s
else:
t.a = t.s - t.parent.s
if t.a < 0:
raise
res += t.a
print(res)
except:
print(-2)
161
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k >= 2:
m = min(d[:-1])
print(max(sum(a) - m, a[-1] - d[-1], 0))
elif k == 0:
rightans = [0] * n
cursum = 0
ans = 0
for i in range(n - 1, -1, -1):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
print(max(rightans))
else:
leftd = int(1000000000.0)
leftsum = 0
rightans = [0] * n
cursum = 0
ans = 0
for i in range(n - 1, -1, -1):
cursum += a[i]
rightans[i] = max(cursum - d[i], 0)
for i in range(n - 1, 0, -1):
rightans[i - 1] = max(rightans[i - 1], rightans[i])
for i in range(n - 1):
leftd = min(leftd, d[i])
leftsum += a[i + 1]
curans = max(leftsum - leftd, 0) + rightans[i + 1]
ans = max(ans, curans)
cursum = 0
rightmin = int(1000000000.0)
for i in range(n - 1, -1, -1):
cursum += a[i]
ans = max(ans, cursum - rightmin - d[i])
rightmin = min(rightmin, a[i])
print(ans)
162
import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
presum[i] = presum[i - 1] + activate[i - 1]
ret = 0
if k == 0:
for i in range(1, n + 1 - 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
for i in range(1, n):
ret = max(ret, presum[n - 1] - deactivate[i - 1])
if deactivate[n - 1] < activate[n - 1]:
ret += activate[n - 1] - deactivate[n - 1]
deac = sorted(deactivate[1:n - 1])
ac = sorted(activate[1:n - 1])
ret = max(ret, presum[n] - deactivate[0] - ac[0])
ret = max(ret, presum[n] - deactivate[0] - deac[0])
ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
for i in range(2, n + 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
for i in range(1, n):
ret = max(ret, presum[n] - deactivate[i - 1])
ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)
163
N = int(input())
A = []
for _ in range(N):
a = int(input())
b = []
for _ in range(a):
b.append(list(map(int, input().split())))
A.append(b)
def F(i):
cnt = 0
B = [-1] * N
r = 0
for j in range(N):
if i >> j & 1:
r += 1
if B[j] == 0:
return 0
B[j] = -1
for p, q in A[j]:
if q == 0:
if B[p - 1] == 1:
return 0
B[p - 1] = 0
else:
if B[p - 1] == 0:
return 0
B[p - 1] = 1
else:
cnt += 1
else:
if B[j] == 1:
return 0
B[j] = 0
if cnt == r:
return cnt
ans = 0
for i in range(1 << N):
ans = max(ans, F(i))
print(ans)
164
from collections import deque
def solve(p, s):
children = {}
parents = {}
for i, e in enumerate(p):
if e not in children:
children[e] = []
children[e].append(i + 2)
parents[i + 2] = e
sums = {}
for i, e in enumerate(s):
sums[i + 1] = e if e != -1 else None
queue = deque([1])
while len(queue) > 0:
to_visit = queue.popleft()
if to_visit in children:
for child in children[to_visit]:
queue.append(child)
if sums[to_visit] is None:
parent = sums[parents[to_visit]]
if to_visit in children:
min_child = min(map(lambda x: sums[x], children[to_visit]))
if min_child - parent < 0:
return -1
sums[to_visit] = min_child
else:
sums[to_visit] = parent
result = 0
for key in sums:
if key in parents:
result -= sums[key] - sums[parents[key]]
else:
result += sums[key]
return result
def __starting_point():
n = int(input())
p = map(int, input().split())
s = map(int, input().split())
print(solve(p, s))
__starting_point()
165
import sys
n, m, k = list(map(int, input().split()))
table = [input() for _ in range(n)]
dp = [0] * (k + 1)
for a in table:
one = []
for i in range(m):
if a[i] == '1':
one.append(i)
if not one:
continue
ni = len(one)
subdp = [10 ** 9] * (ni + 1)
subdp[-1] = 0
for i in range(ni):
for j in range(i, ni - 1):
subdp[ni - (j - i + 1)] = min(subdp[ni - (j - i + 1)], one[j] - one[i] + 1)
next_dp = [10 ** 9] * (k + 1)
for i in range(k, -1, -1):
for j in range(ni + 1):
if i + j > k:
break
next_dp[i + j] = min(next_dp[i + j], dp[i] + subdp[j])
dp = next_dp
print(min(dp))
166
from collections import deque
def solve(p, s):
children = {}
parents = {}
for i, e in enumerate(p):
if e not in children:
children[e] = []
children[e].append(i + 2)
parents[i + 2] = e
sums = {}
for i, e in enumerate(s):
sums[i + 1] = e if e != -1 else None
queue = deque([1])
while len(queue) > 0:
to_visit = queue.popleft()
if to_visit in children:
for child in children[to_visit]:
queue.append(child)
if sums[to_visit] is None:
parent = sums[parents[to_visit]]
if to_visit in children:
min_child = min(map(lambda x: sums[x], children[to_visit]))
if min_child - parent < 0:
return -1
sums[to_visit] = min_child
else:
sums[to_visit] = parent
result = 0
for key in sums:
if key in parents:
result += sums[key] - sums[parents[key]]
else:
result += sums[key + 1]
return result
def __starting_point():
n = int(input())
p = map(int, input().split())
s = map(int, input().split())
print(solve(p, s))
__starting_point()
167
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 0
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i - 1]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
168
N = int(input())
A = []
for _ in range(N):
a = int(input())
b = []
for _ in range(a):
b.append(list(map(int, input().split())))
A.append(b)
def F(i):
cnt = 0
B = [-1] * N
r = 0
for j in range(N):
if i >> j & 1:
r += 1
if B[j] == 0:
return 0
B[j] = 1
for p, q in A[j]:
if q == 0:
if B[p - 1] == 1:
return 0
B[p - 1] = 0
else:
if B[p - 1] == 0:
return 0
B[p - 1] = 1
else:
cnt += 1
else:
if B[j] == 1:
return 0
B[j] = 0
if cnt == r:
return cnt
ans = 0
for i in range(1 << N):
ans = max(ans, F(i))
print(ans)
169
import heapq
n, k = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
s = sum(a)
pre = [0]
j = 0
while j < n:
pre.append(a[j] + pre[-1])
j += 1
ab = []
af = []
af1 = []
j = n - 1
while j >= 0:
heapq.heappush(af, -(s - pre[j] - b[j]))
af1.append(-af[0])
j += -1
af1.reverse()
if k == 0:
j = 0
ans = 0
while j < n:
ans = max(ans, s - pre[j] - b[j])
j += 1
print(ans)
elif k == 1:
j = 0
m = float('inf')
ans = 3
while j < n - 1:
m = min(m, b[j])
if j < n - 2:
ans = max(ans, max(0, pre[j + 1] - m) + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1], s - b[0] - a[j + 1])
else:
ans = max(ans, pre[j + 1] - m + max(0, af1[j + 1]), s - pre[j] - b[j] - a[j + 1])
j += 1
j = 0
while j < n - 1:
ans = max(ans, s - a[-1] - b[j] + max(0, a[-1] - b[-1]))
j += 1
print(ans)
else:
j = 0
ans = 0
while j < n - 1:
ans = max(ans, s - b[j])
j += 1
ans = max(ans, a[-1] - b[-1])
print(ans)
170
n = int(input())
C = 10 ** 9 + 6
a = input()
s = input()
d = [[0, 0, 0, 1]]
for q in range(n):
d.append(d[-1][:])
if a[q] != '?' and s[q] != '?':
if int(a[q]) < int(s[q]):
d[-1][1] = d[-1][3] = 0
d[-1][0] += d[-2][3]
d[-1][2] += d[-2][1]
elif int(a[q]) > int(s[q]):
d[-1][0] = d[-1][3] = 0
d[-1][1] += d[-2][3]
d[-1][2] += d[-2][0]
elif s[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][0] *= int(s[q]) + 1
d[-1][1] *= 10 - int(s[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][0] * (9 - int(s[q])) + d[-2][1] * int(s[q])
elif a[q] != '?':
d[-1][2] *= 10
d[-1][0] += d[-2][3]
d[-1][1] += d[-2][3]
d[-1][1] *= int(a[q]) + 1
d[-1][0] *= 10 - int(a[q])
d[-1][0] -= d[-2][3]
d[-1][1] -= d[-2][3]
d[-1][2] += d[-2][1] * (9 - int(a[q])) + d[-2][0] * int(a[q])
else:
d[-1][3] *= 10
d[-1][2] *= 100
d[-1][0] *= 55
d[-1][1] *= 55
d[-1][0] += d[-2][3] * 45
d[-1][1] += d[-2][3] * 45
d[-1][2] += d[-2][0] * 45 + d[-2][1] * 45
d[-1][0] %= C
d[-1][1] %= C
d[-1][2] %= C
d[-1][3] %= C
print(d[-1][2])
171
import sys
input = sys.stdin.readline
def int_array():
return list(map(int, input().strip().split()))
def float_array():
return list(map(float, input().strip().split()))
def str_array():
return input().strip().split()
from collections import Counter
import math
import bisect
from collections import deque
n, m, lesson = int_array()
dp = [[250005 for i in range(lesson + 2)] for j in range(n + 1)]
days = [[] for i in range(n)]
for i in range(n):
s = input()
for j in range(m):
if s[j] == '1':
days[i].append(j + 1)
m = [[250005 for i in range(lesson + 2)] for j in range(n + 1)]
for i in range(n):
for j in range(lesson * 1):
if j <= len(days[i]):
if j == len(days[i]):
m[i][j] = 0
continue
else:
for k in range(0, j + 1):
var = days[i][0 + k]
var1 = days[i][-1 * max(1, 1 + (j - k))]
m[i][j] = min(m[i][j], var1 - var + 1)
for i in range(lesson + 1):
dp[0][i] = m[0][i]
for i in range(1, n):
for j in range(lesson + 1):
for k in range(j + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][j - k] + m[i][k])
print(min(dp[n - 1]))
172
from pprint import pprint
mod = int(1000000000.0) + 7
s = input()
if 'm' in s or 'w' in s:
print(0)
else:
n = len(s)
dp = [[0, 0] for i in range(n)]
for i in range(1, n):
dp[i][0] = (dp[i - 1 - 1][0] + dp[i - 1][1]) % mod
if s[i] in 'un':
if s[i] == s[i - 1]:
dp[i][1] = (1 + dp[i - 1][0]) % mod
print((dp[-1][0] + dp[-1][1] + 1) % mod)
173
import collections
import heapq
import bisect
import math
import time
class Solution2:
def solve(self, A1, A2):
pass
def gcd(a, b):
if not b:
return a
return gcd(b, a % b)
def lcm(a, b):
return b * a // gcd(b, a)
class Solution:
def solve(self, grid):
def union(i, j):
leader_i, leader_j = (find(i), find(j))
sets[leader_j] = sets[i] = sets[j] = leader_i
def find(i):
while i != sets[i]:
i = sets[i]
return i
N = len(grid) + len(grid[0])
sets = list(range(N))
for i in range(len(grid)):
for j in range(len(grid[0])):
if grid[i][j] == '=':
union(i, j - len(grid))
graph = collections.defaultdict(set)
inc = collections.defaultdict(set)
for i in range(len(grid)):
for j in range(len(grid[0])):
leader_i, leader_j = (find(i), find(j + len(grid)))
if grid[i][j] == '>':
if leader_i == leader_j:
print('No')
return
graph[leader_j].add(leader_i)
inc[leader_i].add(leader_j)
elif grid[i][j] == '<':
if leader_i == leader_j:
print('No')
return
graph[leader_i].add(leader_j)
inc[leader_j].add(leader_i)
self.levels = [0] * N
def dfs(node, level):
self.levels[node] = max(self.levels[node], level)
if not inc[node]:
seen.add(node)
for next_node in graph[node]:
inc[next_node].discard(node)
dfs(next_node, self.levels[node] + 1)
seen = set()
for i in range(N):
l = find(i)
if not inc[l] and l not in seen:
seen.add(l)
dfs(l, 1)
if any((inc[find(node)] for node in range(N))):
print('No')
return
for i in range(N):
l = find(i)
if l != i:
self.levels[i] = self.levels[l]
print('Yes')
print(' '.join((str(o) for o in self.levels[:len(grid)])))
print(' '.join((str(o) for o in self.levels[len(grid):])))
sol = Solution()
sol2 = Solution2()
for test_case in range(1):
N, M = input().split()
a = []
for _ in range(int(N)):
a.append(input())
out = sol.solve(a)
174
import math
fibo = [1, 1, 2]
M = 10 ** 9 + 7
for i in range(3, 100001):
fibo += [(fibo[i - 1] + fibo[i - 2]) % M]
s = list(input())
check = [True] * len(s)
cnt = 1
for i in range(len(s)):
if s[i] == 'u' and check[i]:
t = 0
j = i
while j < len(s) and s[j] == 'u':
check[j] = False
t += -3
j += 1
cnt = cnt * fibo[t] % M
if s[i] == 'n' and check[i]:
t = 0
j = i
while j < len(s) and s[j] == 'n':
check[j] = False
t += 1
j += 1
cnt = cnt * fibo[t] % M
if s[i] == 'm' or s[i] == 'w':
cnt = 0
break
print(cnt)
175
n = int(input())
su0 = []
su1 = []
su00 = []
su11 = []
ans = 0
for i in range(n):
sup, val = map(int, input().split())
if sup == 0:
su00.append(val)
elif sup == 11:
su11.append(val)
elif sup == 1:
su0.append(val)
else:
su1.append(val)
su0.sort(reverse=True)
su1.sort()
su11.sort()
su00.sort()
while len(su1) != 0 and len(su0) != 0:
ans += su1[len(su1) - 1] + su0[len(su0) - 1]
su1.pop()
su0.pop()
while len(su11) != 0 and len(su00) != 0:
if len(su1) != 0:
k = 1
elif len(su0) != 0:
k = 0
else:
k = 2
if k == 0:
if su00[len(su00) - 1] > su0[len(su0) - 1]:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
else:
ans += su11[len(su11) - 1] + su0[len(su0) - 1]
su11.pop()
su0.pop()
elif k == 1:
if su00[len(su00) - 1] > su1[len(su1) - 1]:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
else:
ans += su11[len(su11) - 1] + su1[len(su1) - 1]
su11.pop()
su1.pop()
else:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
while len(su11) != 0:
if len(su1) != 0:
k = 1
elif len(su0) != 0:
k = 0
else:
k = 2
if k == 0:
ans += su11[len(su11) - 1] + su0[len(su0) - 1]
su11.pop()
su0.pop()
elif k == 1:
ans += su11[len(su11) - 1] + su1[len(su1) - 1]
su11.pop()
su1.pop()
else:
ans += su11[len(su11) - 1]
su11.pop()
print(ans)
176
import sys
n, k = list(map(int, input().split(' ')))
activate = list(map(int, input().split(' ')))
deactivate = list(map(int, input().split(' ')))
presum = [0 for _ in range(n + 2)]
for i in range(1, n + 1):
presum[i] = presum[i - 1] + activate[i - 1]
ret = 0
if k == 0:
for i in range(1, n + 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
elif k == 1:
for i in range(1, n):
ret = max(ret, presum[n - 1] - deactivate[i - 1])
if deactivate[n - 1 - 1] < activate[n - 1]:
ret += activate[n - 1] - deactivate[n - 1]
deac = sorted(deactivate[1:n - 1])
ac = sorted(activate[1:n - 1])
ret = max(ret, presum[n] - deactivate[0] - ac[0])
ret = max(ret, presum[n] - deactivate[0] - deac[0])
ret = max(ret, presum[n] - sorted(deactivate[0:n - 1])[0] - sorted(deactivate[0:n - 1])[1])
for i in range(2, n + 1):
ret = max(ret, presum[n] - presum[i - 1] - deactivate[i - 1])
else:
for i in range(1, n):
ret = max(ret, presum[n] - deactivate[i - 1])
ret = max(ret, activate[n - 1] - deactivate[n - 1])
print(ret)
177
import sys
from collections import deque
def debug(x, table):
for name, val in table.items():
if x is val:
print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr)
return None
def solve():
n, m = map(int, sys.stdin.readline().split())
r = [1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
178
import sys
line = sys.stdin.readline().strip().split()
n = int(line[0])
c = int(line[1])
a = list(map(int, sys.stdin.readline().strip().split()))
cright = [0] * (n + 1)
maxfreq = [0] * (5 * 10 ** 5 + 1)
for i in reversed(range(0, n)):
if a[n - 1 - i] == c:
cright[n - 1 - i] = cright[n - i] + 1
else:
cright[n - 1 - i] = cright[n - i]
result = cright[0]
cleft = 0
for i in range(0, n):
if a[i] != c:
maxfreq[a[i]] = max([maxfreq[a[i]], cleft]) + 1
else:
cleft = cleft + 1
if maxfreq[a[i]] + cright[i + 1] > result:
result = maxfreq[a[i]] + cright[i + 1]
print(result)
179
import sys
n, m, k = list(map(int, input().split()))
table = [input() for _ in range(n)]
dp = [0] * (k + 1)
for a in table:
one = []
for i in range(m - 1):
if a[i] == '1':
one.append(i)
if not one:
continue
ni = len(one)
subdp = [10 ** 9] * (ni + 1)
subdp[-1] = 0
for i in range(ni):
for j in range(i, ni):
subdp[ni - (j - i + 1)] = min(subdp[ni - (j - i + 1)], one[j] - one[i] + 1)
next_dp = [10 ** 9] * (k + 1)
for i in range(k, -1, -1):
for j in range(ni + 1):
if i + j > k:
break
next_dp[i + j] = min(next_dp[i + j], dp[i] + subdp[j])
dp = next_dp
print(min(dp))
180
3
def build(n, s, t):
ans = 1
for i in range(n):
if s[i] == '?' and t[i] == '?':
ans = 55 * ans % (10 ** 9 + 7)
elif s[i] == '?':
ans = (ord(t[i]) - ord('0') + 1) * ans & 10 ** 9 + 7
elif t[i] == '?':
ans = (ord('9') - ord(s[i]) + 1) * ans % (10 ** 9 + 7)
return ans
n = int(input())
s = input()
t = input()
sltt = True
tlts = True
qm = 0
cqm = 0
for i in range(n):
if t[i] == '?':
qm += 1
if s[i] == '?':
qm += 1
if t[i] == '?' and s[i] == '?':
cqm += 1
if t[i] == '?' or s[i] == '?':
continue
if ord(s[i]) < ord(t[i]):
tlts = False
if ord(t[i]) < ord(s[i]):
sltt = False
if not sltt and (not tlts):
print(pow(10, qm, 10 ** 9 + 7))
elif sltt and tlts:
print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t) - build(n, t, s) + pow(10, cqm, 10 ** 9 + 7)) % (10 ** 9 + 7))
elif sltt:
print((pow(10, qm, 10 ** 9 + 7) - build(n, s, t)) % (10 ** 9 + 7))
else:
print((pow(10, qm, 10 ** 9 + 7) - build(n, t, s)) % (10 ** 9 + 7))
181
import collections
from collections import defaultdict
n = int(input())
par = [int(i) for i in input().split() if i != '\n']
suma = [int(i) for i in input().split() if i != '\n']
graph = defaultdict(list)
for i in range(n - 1):
graph[i + 2].append(par[i])
graph[par[i]].append(i + 2)
weight = [0] * (n + 1)
weight[1] = suma[0]
queue = collections.deque([1])
visited = set()
visited.add(1)
ok = True
while queue:
vertex = queue.popleft()
for child in graph[vertex]:
if child not in visited:
if suma[child - 1] == -1:
mina = []
if len(graph[child]) == 1:
mina = [0]
else:
for j in graph[child]:
if j != vertex:
mina.append(suma[j - 1] - suma[vertex - 1])
ans = suma[vertex - 1] + min(mina)
suma[child - 1] = ans
if suma[child - 1] < suma[vertex - 1 - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
elif suma[child - 1] < suma[vertex - 1]:
ok = False
else:
weight[child] = suma[child - 1] - suma[vertex - 1]
queue.append(child)
visited.add(child)
if ok == True:
print(sum(weight))
else:
print(-1)
182
from functools import reduce
n = int(input())
s1, s2 = (str(input()), str(input()))
b1 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) < ord(s2[i])) for i in range(n)], False)
b2 = reduce(lambda x, y: x or y, [s1[i] != '?' and s2[i] != '?' and (ord(s1[i]) > ord(s2[i])) for i in range(n)], False)
s = sum([(s1[i] == '?') + (s2[i] == '?') for i in range(n)])
ans1 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else ord(s2[i]) - ord('0') + 1 if s1[i] == '?' else 10 - ord(s1[i]) + ord('0') if s2[i] == '?' else 1 for i in range(n)], 1)
ans2 = reduce(lambda x, y: x * y % 1000000007, [55 if s1[i] == '?' and s2[i] == '?' else 10 - ord(s2[i]) + ord('0') if s1[i] == '?' else ord(s1[i]) - ord('0') + 1 if s2[i] == '?' else 1 for i in range(n)], 1)
ans3 = reduce(lambda x, y: x * y % 1000000007, [10 if s1[i] == '?' and s2[i] == '?' else 1 for i in range(n)], 1)
print((10 ** s - (not b2) * ans1 - (not b1) * ans2 + (not b1 and (not b2)) * ans3) % 1000000008)
183
n, k = map(int, input().split())
a = list(map(int, input().split()))
d = list(map(int, input().split()))
if k == 0:
best = 0
curr = sum(a)
for i in range(n):
best = max(best, curr - d[i])
curr -= a[i]
print(best)
elif k == 1:
best = sum(a[:-1 + 1]) - min(d[:-1])
other = sum(a)
other -= sorted(d)[0]
other -= sorted(d)[1]
curr = sum(a)
for i in range(n):
if i:
best = max(best, curr - d[i])
curr -= a[i]
o2 = sum(a) - min(a[1:]) - d[0]
print(max((best, other, 0, o2)))
else:
print(max((sum(a) - min(d[:-1]), 0, a[-1] - d[-1])))
184
import sys
from io import StringIO
import unittest
class TestClass(unittest.TestCase):
def assertIO(self, input, output):
stdout, stdin = (sys.stdout, sys.stdin)
sys.stdout, sys.stdin = (StringIO(), StringIO(input))
resolve()
sys.stdout.seek(0)
out = sys.stdout.read()[:-1]
sys.stdout, sys.stdin = (stdout, stdin)
self.assertEqual(out, output)
def test_入力例_1(self):
input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
output = '2'
self.assertIO(input, output)
def test_入力例_2(self):
input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
output = '0'
self.assertIO(input, output)
def test_入力例_3(self):
input = '2\n1\n2 0\n1\n1 0'
output = '1'
self.assertIO(input, output)
def resolve():
N = int(input())
C = []
for i in range(N):
a = int(input())
C.append([list(map(int, input().split())) for j in range(a)])
ans = 1
for bit in range(1 << N):
f = True
for i in range(N):
if bit & 1 << i:
for c in C[i]:
if bit & 1 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
f = False
break
if f == True:
ans = max(ans, bin(bit).count('1'))
print(ans)
def __starting_point():
resolve()
__starting_point()
185
def min_sub_array(day, k):
if not day:
return [0] * (k + 1)
n = len(day)
best = [float('inf')] * (n + 1)
best[0] = 0
best[1] = 1
for size in range(2, n + 1 - 1):
for i in range(n + 1 - size):
best[size] = min(best[size], day[i + size - 1] - day[i] + 1)
output = [0] * (k + 1)
for i in range(k + 1):
if n - i > 0:
output[i] = best[n - i]
return output
N, M, K = list(map(int, input().split()))
day = [i for i, val in enumerate(input()) if val == '1']
best = min_sub_array(day, K)
for _ in range(N - 1):
day = [i for i, val in enumerate(input()) if val == '1']
new_day_best = min_sub_array(day, K)
new_best = [float('inf')] * (K + 1)
for i in range(K + 1):
for j in range(i + 1):
new_best[i] = min(new_best[i], new_day_best[j] + best[i - j])
best = new_best
print(best[K])
186
from collections import deque
def solve(p, s):
children = {}
parents = {}
for i, e in enumerate(p):
if e not in children:
children[e] = []
children[e].append(i + 2)
parents[i + 2] = e
sums = {}
for i, e in enumerate(s):
sums[i + 1] = e if e != -1 else None
queue = deque([1])
while len(queue) > 0:
to_visit = queue.popleft()
if to_visit in children:
for child in children[to_visit]:
queue.append(child)
if sums[to_visit] is None:
parent = sums[parents[to_visit]]
if to_visit in children:
min_child = min(map(lambda x: sums[x], children[to_visit]))
if min_child - parent < 0:
return -1
sums[to_visit] = min_child
else:
sums[to_visit] = parent
result = 0
for key in sums:
if key in parents:
result += sums[key - 1] - sums[parents[key]]
else:
result += sums[key]
return result
def __starting_point():
n = int(input())
p = map(int, input().split())
s = map(int, input().split())
print(solve(p, s))
__starting_point()
187
import sys
from collections import deque
def debug(x, table):
for name, val in table.items():
if x is val:
print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr)
return None
def solve():
n, m = map(int, sys.stdin.readline().split())
r = [1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1 - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
188
pos = [0, 1, -2]
while len(pos) < 100001:
a = pos[-1] + pos[-2]
a %= 1000000007
pos.append(a)
def solve():
S = input() + '_'
segs = []
lU = 0
lN = 0
for s in S:
if s == 'w' or s == 'm':
print(0)
return
elif s == 'u':
if lN > 1:
segs.append(lN)
lN = 0
lU += 1
elif s == 'n':
if lU > 1:
segs.append(lU)
lU = 0
lN += 1
else:
if lU > 1:
segs.append(lU)
if lN > 1:
segs.append(lN)
lU = 0
lN = 0
ans = 1
for s in segs:
ans *= pos[s]
ans %= 1000000007
print(ans)
solve()
189
def min_sub_array(day, k):
if not day:
return [0] * (k + 1)
n = len(day)
best = [float('inf')] * (n + 1)
best[0] = 0
best[1] = 1
for size in range(2, n + 1):
for i in range(n + 1 - size):
best[size] = min(best[size], day[i + size - 1] - day[i] + 1)
output = [0] * (k + 1)
for i in range(k + 1):
if n - i > 0:
output[i] = best[n - i]
return output
N, M, K = list(map(int, input().split()))
day = [i for i, val in enumerate(input()) if val == '1']
best = min_sub_array(day, K)
for _ in range(N - 1):
day = [i for i, val in enumerate(input()) if val == '1']
new_day_best = min_sub_array(day, K)
new_best = [float('inf')] * (K + 1)
for i in range(K + 1):
for j in range(i + 1 - 1):
new_best[i] = min(new_best[i], new_day_best[j] + best[i - j])
best = new_best
print(best[K])
190
import sys
from io import StringIO
import unittest
class TestClass(unittest.TestCase):
def assertIO(self, input, output):
stdout, stdin = (sys.stdout, sys.stdin)
sys.stdout, sys.stdin = (StringIO(), StringIO(input))
resolve()
sys.stdout.seek(0)
out = sys.stdout.read()[:-1]
sys.stdout, sys.stdin = (stdout, stdin)
self.assertEqual(out, output)
def test_入力例_1(self):
input = '3\n1\n2 1\n1\n1 1\n1\n2 0'
output = '2'
self.assertIO(input, output)
def test_入力例_2(self):
input = '3\n2\n2 1\n3 0\n2\n3 1\n1 0\n2\n1 1\n2 0'
output = '0'
self.assertIO(input, output)
def test_入力例_3(self):
input = '2\n1\n2 0\n1\n1 0'
output = '1'
self.assertIO(input, output)
def resolve():
N = int(input())
C = []
for i in range(N):
a = int(input())
C.append([list(map(int, input().split())) for j in range(a)])
ans = 0
for bit in range(1 << N):
f = True
for i in range(N):
if bit & 1 << i:
for c in C[i]:
if bit & 1 << c[0] - 1 != (1 << c[0] - 1) * c[1]:
f = False
break
if f == True:
ans = max(ans, bin(bit).count('1'))
print(ans)
def __starting_point():
resolve()
__starting_point()
191
n = int(input())
su0 = []
su1 = []
su00 = []
su11 = []
ans = 0
for i in range(n):
sup, val = map(int, input().split())
if sup == 4:
su00.append(val)
elif sup == 11:
su11.append(val)
elif sup == 1:
su0.append(val)
else:
su1.append(val)
su0.sort()
su1.sort()
su11.sort()
su00.sort()
while len(su1) != 0 and len(su0) != 0:
ans += su1[len(su1) - 1] + su0[len(su0) - 1]
su1.pop()
su0.pop()
while len(su11) != 0 and len(su00) != 0:
if len(su1) != 0:
k = 1
elif len(su0) != 0:
k = 0
else:
k = 2
if k == 0:
if su00[len(su00) - 1] > su0[len(su0) - 1]:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
else:
ans += su11[len(su11) - 1] + su0[len(su0) - 1]
su11.pop()
su0.pop()
elif k == 1:
if su00[len(su00) - 1] > su1[len(su1) - 1]:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
else:
ans += su11[len(su11) - 1] + su1[len(su1) - 1]
su11.pop()
su1.pop()
else:
ans += su11[len(su11) - 1] + su00[len(su00) - 1]
su11.pop()
su00.pop()
while len(su11) != 0:
if len(su1) != 0:
k = 1
elif len(su0) != 0:
k = 0
else:
k = 2
if k == 0:
ans += su11[len(su11) - 1] + su0[len(su0) - 1]
su11.pop()
su0.pop()
elif k == 1:
ans += su11[len(su11) - 1] + su1[len(su1) - 1]
su11.pop()
su1.pop()
else:
ans += su11[len(su11) - 1]
su11.pop()
print(ans)
192
n = int(input())
a = input()
b = input()
mod = int(1000000000.0 + 7)
x, y, z = (1, 1, 1)
for i in range(n):
if a[i] == '?' and b[i] == '?':
x = x * 55 % mod
y = y * 55 % mod
z = z * 10 % mod
elif a[i] == '?':
x = x * (10 - int(b[i])) % mod
y = y * (int(b[i]) + 1) // mod
elif b[i] == '?':
x = x * (int(a[i]) + 1) % mod
y = y * (10 - int(a[i])) % mod
else:
if int(a[i]) < int(b[i]):
x = 0
if int(a[i]) > int(b[i]):
y = 0
if a[i] != b[i]:
z = 0
res = pow(10, a.count('?') + b.count('?'), mod)
print((res - x - y + z) % mod)
193
pos = [0, -1, 2]
while len(pos) < 100001:
a = pos[-1] + pos[-2]
a %= 1000000007
pos.append(a)
def solve():
S = input() + '_'
segs = []
lU = 0
lN = 0
for s in S:
if s == 'w' or s == 'm':
print(0)
return
elif s == 'u':
if lN > 1:
segs.append(lN)
lN = 0
lU += 1
elif s == 'n':
if lU > 1:
segs.append(lU)
lU = 0
lN += 1
else:
if lU > 1:
segs.append(lU)
if lN > 1:
segs.append(lN)
lU = 0
lN = 0
ans = 1
for s in segs:
ans *= pos[s]
ans %= 1000000007
print(ans)
solve()
194
n = int(input())
a = []
x = []
y = []
for i in range(n):
ai = int(input())
a.append(ai)
xi = []
yi = []
for j in range(ai):
xij, yij = list(map(int, input().split(' ')))
xi.append(xij)
yi.append(yij)
x.append(xi)
y.append(yi)
ans = 0
for case in range(2 ** n):
truth_t = 0
truth = 0
for i in range(n):
if case >> i & 1:
truth_t += 1
proof = 0
for j in range(a[i]):
if case >> x[i][j - 1] - 1 & 1 == y[i][j]:
proof += 1
if proof == a[i]:
truth += 1
if truth == truth_t:
if ans < truth:
ans = truth
print(ans)
195
n = int(input())
influences = [[], [], [], []]
for i in range(0, n):
[support, influence] = [x for x in input().split()]
support = int(support, 2)
influences[support].append(int(influence))
for i in range(0, 4):
influences[i] = sorted(influences[i])
influences[i].reverse()
total_influence = 0
total_influence += sum(influences[3])
min_size = min(len(influences[2]), len(influences[1]))
total_influence += sum(influences[1][:min_size]) + sum(influences[2][:min_size])
size = len(influences[3])
influences[0] += influences[1][min_size:] + influences[0][min_size:]
influences[0] = sorted(influences[0])
influences[0].reverse()
total_influence += sum(influences[0][:size])
print(total_influence)
196
n = int(input())
influences = [[], [], [], []]
for i in range(0, n):
[support, influence] = [x for x in input().split()]
support = int(support, 2)
influences[support].append(int(influence))
for i in range(0, 4):
influences[i] = sorted(influences[i])
influences[i].reverse()
total_influence = 0
total_influence += sum(influences[3])
min_size = min(len(influences[1]), len(influences[1]))
total_influence += sum(influences[1][:min_size]) + sum(influences[2][:min_size])
size = len(influences[3])
influences[0] += influences[1][min_size:] + influences[2][min_size:]
influences[0] = sorted(influences[0])
influences[0].reverse()
total_influence += sum(influences[0][:size])
print(total_influence)
197
def __starting_point():
n = int(input())
supporters = {}
supporters[0] = []
supporters[1] = []
supporters[10] = []
supporters[11] = []
for i in range(n):
[x, y] = [int(x) for x in input().split()]
supporters[x].append(y)
for x in supporters:
supporters[x].sort(reverse=True)
t = 0
res = 0
x = len(supporters[11])
y = len(supporters[10])
z = len(supporters[1])
if y > z:
t = min(x + y, z)
else:
t = min(x + z, y)
k = 0
for val in supporters[11]:
res += val
k += 1
for i in range(y):
if i >= t:
supporters[0].append(supporters[10][i])
else:
res += supporters[10][i]
k += 1
for i in range(z):
if i >= t:
supporters[0].append(supporters[1][i])
else:
res += supporters[1][i]
k += 1
supporters[0].sort(reverse=True)
t = min(x + y, x + z)
i = 0
while 2 * t > k and i < len(supporters[0]):
k += 1
res += supporters[0][i]
i += 4
print(res)
__starting_point()
198
import sys
sys.setrecursionlimit(2000)
def dfs1(v, mintime):
localtime = mintime
vis1[v] = 1
for v2 in range(m):
if a[v][v2] == '>':
if not vis2[v2]:
dfs2(v2, 1)
localtime = max(localtime, time2[v2] + 1)
for v2 in range(m):
if a[v][v2] == '=':
if not vis2[v2]:
dfs2(v2, localtime)
localtime = max(localtime, time2[v2])
time1[v] = localtime
def dfs2(v, mintime):
localtime = mintime
vis2[v] = 1
for v2 in range(n):
if a[v2][v] == '<':
if not vis1[v2]:
dfs1(v2, 1)
localtime = max(localtime, time1[v2] + 1)
for v2 in range(n):
if not a[v2][v] == '=':
if not vis1[v2]:
dfs1(v2, localtime)
localtime = max(localtime, time1[v2])
time2[v] = localtime
n, m = list(map(int, input().split()))
a = [input() for i in range(n)]
time1 = [0] * n
time2 = [0] * m
vis1 = [0] * n
vis2 = [0] * m
time = 0
try:
for v in range(n):
if not time1[v]:
dfs1(v, 1)
for v in range(m):
if not time2[v]:
dfs2(v, 1)
correct = True
for v1 in range(n):
for v2 in range(m):
if a[v1][v2] == '=' and time1[v1] != time2[v2]:
correct = False
if a[v1][v2] == '>' and time1[v1] <= time2[v2]:
correct = False
if a[v1][v2] == '<' and time1[v1] >= time2[v2]:
correct = False
if correct:
print('Yes')
print(*time1)
print(*time2)
else:
print('No')
except RecursionError:
print('No')
199
import sys
n, m = map(int, input().split())
door = list(map(int, input().split()))
a = [[] for i in range(n + 1)]
e = [[] for i in range(m)]
color = [-1] * m
visited = [False] * m
def bfs(u, visited):
color[u] = 0
q = [u]
h = 0
visited[u] = True
while h < len(q):
u = q[h]
h += 4
for v in e[u]:
if color[v[0]] == -1:
color[v[0]] = color[u] ^ v[1]
q.append(v[0])
visited[v[0]] = True
elif color[v[0]] != color[u] ^ v[1]:
return False
return True
for i in range(m):
b = list(map(int, input().split()))
for j in range(1, len(b)):
k = b[j]
a[k].append(i)
if len(a[k]) == 2:
e[a[k][0]].append((a[k][1], 1 - door[k - 1]))
e[a[k][1]].append((a[k][0], 1 - door[k - 1]))
flag = True
for i in range(m):
if color[i] == -1:
if bfs(i, visited) == False:
flag = False
break
if flag:
print('YES')
else:
print('NO')
200
from collections import defaultdict, deque
n = int(input())
adj = [[] for _ in range(n)]
v = [0] * n
l = list(map(int, input().split()))
for i, f in enumerate(l):
adj[f - 1].append(i + 1)
s = list(map(int, input().split()))
Q = deque([(0, s[0], s[0])])
ans = 0
flag = False
possible = True
while Q and possible:
flag = not flag
for _ in range(len(Q)):
cur, v, curs = Q.popleft()
if v < 0:
possible = False
ans = -1
break
ans += v
if flag:
for i in adj[cur]:
if len(adj[i]) <= 1:
Q.append((i, 0, curs))
else:
temp = min([s[k - 1] for k in adj[i]])
Q.append((i, temp - curs, temp))
else:
for i in adj[cur]:
Q.append((i, s[i] - curs, s[i]))
print(ans)
Final Query
Identify every unordered pair of earlier programs that implements the same input-output specification, including its boundary and edge-case behavior. Each cell may appear in at most one returned pair. Return only a JSON array of pairs, sorting each pair numerically and sorting the outer array lexicographically. Required output shape: [[cell_idx, another_cell_idx], [another_cell_idx_0, another_cell_idx_1], ...]. Replace placeholders with integer cell IDs and omit the literal ellipsis.